A committee must be formed with 4 teachers and 5 students. If there are 7 teachers to choose from, and 15 students, how many different ways could the committee be made?

Answers

Answer 1

Answer:

Step-by-step explanation:

There are a total of 10 persons (6 teachers + 4 students) from which a committee of 5 is to be formed. This can be done in 10C5 ways.

The number of ways that a committee can be formed with no students in it is to select 5 teachers out of the pool of 6 teachers available. This can be done in 6C5 ways.

Therefore the total number of ways that the committee can be formed with at least one student in it is 10C5 - 6C5.

10C5 = 252

6C5 = 6

Therefore the required number of ways = 246

Answer 2
Mulitply

C(6,4)*C(12,4)


Related Questions

I need help ASAP, please

Answers

Answer:

y = 4x + 40 and y = 40

Step-by-step explanation:

BAD  QUESTION.

Believe it's y = 4x + 40 and y = 40. Others don't make sense. Sorry for bad explanation, but I'm a little unsure do to the question...

The second one is probably x > 10

Sorry in advance, try the question yourself if you can and check cause.

please help me thanks

Answers

Answer:

E

R

R

R

E

E

Step-by-step explanation:

explanation

Which is the best description of an extraneous solution?

A solution that results in a true statement when substituted back into the original equation.

A solution that results in a false statement when substituted back into the original
equation.

A solution that is false for all absolute value equations.

A solution that is true for all absolute value equations.

Answers

Answer:

A solution that results in a false statement when substituted back into the original  equation.

Step-by-step explanation:

An extraneous solution is one that arises in a solution of equations, but which on closer inspection is not a solution to the original equation. Therefore, they imply an error in the development of the solution of the equation, so they cannot be taken as a valid solution since, when replacing the result with the missing variable, the equation does not obtain the desired result.

Please help me out with this one

Answers

Answer:

2%

Step-by-step explanation:

thank u for Ur question:)

I got to type a response ​

Answers

Answer:

This is actually pretty easy.

13+3-11 is 5

1+0-2 is -1

8+5+6 is 19

0-3-4 is -7

So you add all of the solutions and then thats your answer D+C equals 24+-8

Step-by-step explanation:

h
Ph)
30
60
190
19988 0
120
150
180
210

Answers

Answer:

hi can u pls enter the right question

should i ask my cruch out

Answers

Answer:

go for it!!!!

Step-by-step explanation:

Answer:

If you feel like you should. Just make sure they are single.

4(9y-6) please helpppppp

Answers

Answer:

36y-24

Step-by-step explanation:

Answer:

36y - 24

Step-by-step explanation:

4(9y - 6)

First Step: Multiply both 9y and -6 by 4

36y - 24

QUESTION NUMBER ONE
FIND THE SALE PRICE OR RETAIL PRICE.
ORIGINAL PRICE: $85
DISCOUNT: 19%

Answers

Answer:

$68.85

Step-by-step explanation:

19% of $85 is $16.15

$85 - $16.15 = $68.85

Can someone help please

Answers

the radius is the length of the line going from one side to the middle some of the questions are already like that so just copy it down some go from one side to the other so basically you have to double them ones the diameter are the length of the lines going form one side to the other and to work out the radius from a diameter u just half the diameter the circumference formula is c=2 π r which means the circumference equals 2 x π x the radius
i hoped this helped its probably a bit confusing if so just comment and i’ll help

Write the word sentence as an inequality.
The quotient of a number y and -2.5 is less than
10.5.

Answers

Answer:

-[tex]\frac{y}{2.5}[/tex] < 10.5

Step-by-step explanation:

Help I’ll give out brainliest thank you

Answers

Answer:

37 hours

Step-by-step explanation:

to find out how many hours it will take the ship to get to the bahamas, we must take the distance that needs to be traveled and divide it by the distance traveled every hour (m/h)

859 / 23 = 37.3478261

now, rounded to the nearest hour, that would be 37 hours

Solve the following equation by completing the next two lines (showing all work )
X + 6 = 10

Answers

Answer:

x=10-6

x=4

Step-by-step explanation:

for which level

3-78

please awnswer :d

Answers

Answer:

The answer would be -75

Step-by-step explanation:

Please help me out with this

Answers

Answer:

10

Step-by-step explanation:

2+2+6

Answer:

10

Step-by-step explanation:

The right side of the graph shows the sum of the cars. 2 black Impala's + 6 white Impala's + 2 red Impala's = 10 total Impala's (that is, if all of the Impala's are one solid color)

Half of a number decreased by 8 is 3 *

Answers

Answer:

the number is 22

Step-by-step explanation:

[tex]11 - 8 = 3[/tex]

[tex]11 + 11 = 22[/tex]

155 Divided By 9,765

Answers

Answer:

0.0158730159

Explanation:

How do you expand double brackets

Answers

You pull them and they expand :) !!!! Yea

Answer:

Step-by-step explanation:

Expanding double brackets is easy. Let me give u an example :

(x+5)(x+1)

so the way i do it is

1.Write the second bracket (x+1) twice :

(x+1) (x+1)

2. split the first bracket (x+5) like this :

x(x+1) +5(x+1)

3. Simplify

x*x = x²

x*1 = 1x

5*x = 5x

5*1 = 5

x² + 1x + 5x + 5 = x² + 6x + 5

so the final answer is gonna be x² + 6x + 5

in order to factorize it, u basically do the following :

1. Find two numbers, that multiply to give the last number (a.k.a 5 ) and add to give the middle number (a.k.a 6) The middle number is the sum, and the last number is the product.

so u write all the combo's that make the number 5 :

1 x 5

The two number's are gonna be 1 & 5, because 1 + 5 = 6 (the sum) and 1 x 5 = 5 (the product)

This example is easy since it doesn't include any negative numbers, so u just do = (x+1) (x+5) or (x+5) (x+1) same thing ;-;

I think u should just ask a teacher or watch a tutorial or smthn, this is like the worst explanation ever. But yeah once u know the method, you'll find expanding double brackets rly easy.

Factorise x2 + 4x + 3

Answers

Answer:

(x + 1)(x + 3)

Step-by-step explanation:

Given

x² + 4x + 3

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

The factors are + 1 and + 3, since

1 × 3 = 3 and 1 + 3 = 4, then

x² + 4x + 3 = (x + 1)(x + 3)

which fraction is equivalent to 2/4​

Answers

1/2 or in decimals .5

Answer: 1/2

Step-by-step explanation:U need to simplify 2/4 by divide both 2 and 4 by 2 which gives u 1 over 2 (1/2).

Hope it helps :)

do you smiply slope...........

Answers

Answer:

Yes... or no

Step-by-step explanation:

You simplify slope if you can simplify the numerator and denominator.

I hope this helped, please give brainliest if this is correct! Thank you!

Answer:

Give brainlist ti that person: )

Step-by-step explanation:


Which value is a solution to the inequality x <4

Answers

Answer:

any number under 4 so 3 2 1 -1 -2 -3 -4 -5 -6 -7 etc

Step-by-step explanation:

Answer: oh kay then....

HELP ME PLEASE I ONLY HAVE 5 MIN

Answers

Answer:

L = (-1.5, 2) U = (1.5, 2.5) V = (1, -0.5)

Step-by-step explanation:

Just divided everything by two.

I will give brainlist!!

Answers

Answer: I gave both percentage and price.

10 years:

Coin A) is worth 25$ with 7%  $25.70  0.7%

Coin B) is worth 50$ with 5% $50.50  0.5%

Coin C) is worth 60$ with 4% $60.40 0.4%

20 years:

Coin A) $26.40  1.4%

Coin B) $51.00  1%

Coin C) $60.80  0.8%

30 years:

Coin A) $27.00  2%

Coin B) $51.50  1.5%

Coin C) $61.20  1.2%

60 years:

Coin A) $29.20  4.2%

Coin B) $53.00  3%

Coin C) $62.40  2.4%

Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find f(x) · g(x) and
express the result in standard form.

Answers

Answer:

[tex]f(x)\cdot g(x)=x^3-21x^2+135x-243[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2-12x+27\text{ and } g(x)=x-9[/tex]

And we want to find:

[tex]f(x)\cdot g(x)[/tex]

So, by substitution:

[tex]=(x^2-12x+27)\cdot (x-9)[/tex]

Distribute:

[tex]=(x^2-12x+27)(x)+(x^2-12x+27)(-9)[/tex]

Multiply:

[tex]=(x^3-12x^2+27x)+(-9x^2+108x-243)[/tex]

Rearrange:

[tex]=(x^3)+(-12x^2-9x^2)+(27x+108x)+(-243)[/tex]

Combine like terms:

[tex]=x^3-21x^2+135x-243[/tex]

Hence:

[tex]f(x)\cdot g(x)=x^3-21x^2+135x-243[/tex]

helpppppppppppppppppp​

Answers

Answer:

5x + y = -48

Step-by-step explanation:

(y + 3)/(x + 9) =m

=> y + 3 = -5x -45

=> 5x + y + 48 = 0

what Is 2+2 :)
what Is 5+5​

Answers

Answer:

2+2=4

5+5=10

Step-by-step explanation:

i hope this helps

Answer:

2 + 2 is  4 and 5 + 5 is 10

Step-by-step explanation:

becuase it is :>

3(2x+ 1) for x = -8
Hi

Answers

Answer:

-45

Step-by-step explanation:

inside the parentheses: 2*-8= -16

                                        -16+1=-15

3 (-15)= -45

Answer:

-45

Step-by-step explanation:

hello

Describe and correct the error in finding the different of the polynomials ..

Answers

Answer:

Am not seeing any error

[tex](4 {x}^{2} - x + 3) - (3 {x}^{2} - 5x - 6) \\ = (4 - 3) {x}^{2} - (5 + 1)x + (3 - 6) \\ = {x}^{2} - 6x - 3[/tex]

HELLLPPPP
The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.

Answers

Answer:

Step-by-step explanation:

The output of a function is 3 less than 6 times the

input. Find the input when the output is 15.

find out u

Other Questions
One of the main characteristics of the U.S. economic system is: A. reducing competition in important industries. B. restricting economic freedom for large businesses.C. forcing businesses to prioritize workers over profit. D. limiting the role of the government in the economy. which is a multiple of 6? 3?16?39?54? These are not able to conduct electricity or heat very well, very brittle (breakable), and cannot bemade into wires or pounded into sheets Which of these weather phenomenon would be the mostprodigious? *HurricaneStormShowerRain Someone help plz I need some help good at finding slope people? Anyone please someone hellp Find the value of X in the triangle shown HELP ASAP!! Identify the tropical and the temperate zones ? Using the following equation: 3H2SO4 + 2Fe - +Fe2(SO4)3 + 3H2How many moles of H2SO4 will react with 8 moles of Fe? pleaseee help !!!!!!!Use the picture to match each trig function with its ratio:-5/4-3/5-4/5-3/4-5/3 Calculate the mean, median and mode for each set of data. 2, 4, 7, 4, 8, 9, 12, 4, 7, 3 An 8-oz can of orange juice contains about 97 mg of vitamin C. About howmany milligrams of vitamin C are there in a 12-oz can of orange juice? Help me with this homework Kim paid 3/7 of a bill, Sherri paid 35% of the bill, and Judy paid the rest.Which of the following statements is true?a.Kim paid the most.b.Sherri paid the most.c.Judy paid the most. d.They all paid the same amount. Ava lives in Miami, and after a hurricane passed over the city, heavy rains developed and Miami flooded. Why are floods sodestructive?a. they cause water to remain for a long time because the ground is saturated and it doesnt run off quickly. b. flood waters remain for a short time and can happen with very little warning. c. floods often drain surrounding areas and can bring more flooding. d. flooding often occurs at night and the flood waters cant be seen. Read the selection from the section "Cells Carry Information To The Next Generation."In the 1880s, Walter Sutton and Theodor Boveri identified the chromosome as being responsible for passing down genes from one generation to the next. The discovery forever linked genetics and cytology. Later discoveries further confirmed and solidified the role of the cell in passing characteristics down from one generation to another. One famous example is James Watson and Francis Crick's studies on the structure of DNA. What conclusion is BEST supported by the selection above?A) Scientists needed much better microscopes in order to discover how genes and cells are related.B) Scientists needed to find out how cells performed in order to fully understand genetics.C) Scientists in the 1880s made the most important discoveries in cell research in modern history.D) Scientists in the 1880s completely reversed all previous understandings about genetics. When taking the sine and cosine of different angles in your calculator, why are they sometimes the same? Why do they sometimes produce the same answer? ex: sin 55* = 0.819152044 and cos35* = 0.819152044 or sine 30* and cos 60* does anyone know how to solve this sin25=x/12 Original price 95$ sale price 61.75 what is percent discount causes and effects of International Factor Mobility