Answers
The mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
The Total number of distinguishable things is m.
Here, Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]
If the order matters, then each of those choice of k distinct items would be permuted k! times,
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
We have to find the mathematical representation of 20P4.
[tex]^{20}P_4[/tex]
here, m = 20
k = 4
Now substitute;
[tex]^mP_k = \dfrac{m!}{ (m-k)!}\\\\^{20}P_4 = \dfrac{20!}{ (20-4)!}\\\\^{20}P_4 = \dfrac{20!}{ (16)!}\\\\\\^{20}P_4 = \dfrac{20 \times 19 \times 18 \times 17 \times 16!}{ (16)!}\\\\\\^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]
Hence, the mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.
Learn more about combinations and permutations here:
https://brainly.com/question/16107928
#SPJ2
Related Questions
(25-a) divided by 7=3
Answers
Answer:
a = -0.57
rounded to the nearest tenth: a = -0.6
Step-by-step explanation:
(25 - a) ÷ 7 = 3
25 - a ÷ 7 = 3
25 ÷ 7 - a = 3
3.6 - a = 3
3.57 - 3.57 - a = 3 - 3.57
a = -0.57
The value of "a" in the equation (25 - a) ÷ 7 = 3 is 4.
To find the value of "a" in the equation (25 - a) ÷ 7 = 3.
we can solve for "a" by isolating it on one side of the equation.
(25 - a)/7 = 3.
Multiply both sides of the equation by 7 to get rid of the division:
7(25 - a)/7 = 3 × 7.
25 - a = 21.
To isolate "a," subtract 25 from both sides of the equation:
25 - a - 25 = 21 - 25.
Simplifying further, we get:
-a = -4.
Multiply both sides of the equation by -1 to solve for "a":
-1 × (-a) = -1× (-4).
a = 4.
Therefore, the value of "a" in the equation (25 - a) ÷ 7 = 3 is 4.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ6
solve the inequality 3(x - 2) < 2 and graph it on number line
Answers
Answer:
3x-6#2
,,,,,,,,,,,,,,,,,,,,
3x-6#2................................
quivaler
What is the decimal
equivalent for 15_?
Answers
Answer:
1/15
Step-by-step explanation:
Massa says that 540 = 6 = 9. Is he right? Explain how you know using an equation.
Answers
Answer:
i think you have written wrong equation
Step-by-step explanation:
PLSSSSS HELP I BEG YOU I WILL GIVE BRAINLIEST WHOEVER ANSWERS FIRAT AND CORRECT.!!!
Answers
Answer:
WHASTW THE QUESTION?
Step-by-step explanation:
Answer:
um ok first you spell that wrong and put firat
Step-by-step explanation:
Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.75 and each cup of hot chocolate costs $1.00. If he pays a total of $14.50 for 10 cups, how many of each does he buy?
Answers
Answer:
6 cups of coffee
4 cups of hot chocolate
Step-by-step explanation:
x=number of cups of coffee
y=number of cups of hot chocolate
1.75x+1y=14.5
x+y=10 y=10-x
substitute for y
1.75x+10-x=14.5
0.75x=4.5
x=6
y=10-6=4
use properties of operations to find an equivalent for 3(6+b)-(2b+1)
Answers
Answer:
b + 17
Step-by-step explanation:
3(6+b)-(2b+1) =
3*6 + 3*b - 2b - 1 =
18 + 3b - 2b - 1 =
b + 17
how many square feet of outdoor carpet will we need for this hole?
Answers
MY WORK:
First, you would cut it up into different parts/shapes
(I cut it up into rectangles)
Then, you would find the area of each.
The bottom rectangle: 10 ( 5 times 2 )
The middle rectangle: 12 ( 6 times 2 )
The top rectangle: 8 ( 4 times 2 )
Lastly, you would add!
10 + 12 + 8 = 30
Therefore, the answer is...
30!
My apologies if this is wrong but I hope I helped a little bit!
Can someone like help with this pleasee
Answers
Answer:
this is as test
Step-by-step explanation:
Madison purchased 3 gallons of milk. How many one-cup servings are equivalent to 3 gallons
Answers
Answer:
48 cups
Step-by-step explanation:
there's 16 cups per gallon so 16 x 3
Answer:
48 cups
Step-by-step explanation:
there are apx. 16 cups of milk in one gallon.
16 times 3 = 48
using the properties of the special parallelogram, solve for x and y
Answers
Answer:
y = 4
x= 27
Step-by-step explanation:
boom roasted.
Simplify: 10(48 1/4)-3(3 1/4)
Answers
Answer:
472.75 or 472 3/4
Step-by-step explanation:
10(48 1/4)-3(3 1/4) =
10(48.25) - 3(3.25) =
482.5 - 9.75 =
472.75
In fraction form, this is 472 3/4
Which of the following combinations of side lengths would NOT form a triangle with vertices X, Y, and Z?
Answers
Answer:
D) because the sum of two sides must be greater than the third side
Step-by-step explanation:
in this 10+14=24 which is not greater than 26
Expand to write an equivalent expression:
-1/4(-8x+12y)
Answers
Answer:
2x-3y
Step-by-step explanation:
-1/4×-8x= 8/4x = 2x
-1/4×12y= - 12y/4 = -3y
2x-3y
A tree grows three feet per year. What happens to the growth of the tree when the number of years changes?
O When the number of years increases, the number of feet decreases.
O When the number of years decreases, the number of feet stays the same.
O When the number of years increases, the number of feet increases.
O When the number of years decreases, the number of feet increases.
Answers
Answer:
The tree will keep growing each year 3 feet.
Answer:
Your Answer is When the number of years increases, the number of feet increases
Use the to add a new slide to your presentation.
Answers
Answer:
Insert menu should be correct :)
Step-by-step explanation:
Please give brainliest :)
Use the Insert menu to add a new slide to your presentation
Given data ,
To add a new slide to your presentation, you can use the "Insert menu." Here's a step-by-step explanation of how to do it in Microsoft PowerPoint:
Open your presentation in PowerPoint.
Look for the menu bar at the top of the screen.
Click on the "Insert" tab in the menu bar.
In the "Slides" group, you will find various options for adding a new slide. The options may include "New Slide," "Blank Slide," or specific slide layouts like "Title Slide" or "Content Slide."
Click on the desired option to insert a new slide with the chosen layout into your presentation.
Using the "Insert menu" allows you to add a new slide with the appropriate layout and design that best suits your content and presentation needs
To learn more about powerpoint presentation click :
https://brainly.com/question/22438059
#SPJ6
Kelly met Jesse and Liza at The Maxx for breakfast. The
graph shows Kelly's speed during her 12 minute drive.
Answers
Answer:
wheres the graph? thats what we need
Step-by-step explanation:
There are 80 Grade 5 students going on a field trip.
Each driver has a van that can seat 6 children.
How many vans will be needed?
Show your work and explain your answer.
Answers
a chef made 30 Donuts in 60 minutes. how long would it take him to make 90 Donuts?
Answers
Answer:
180 minutes
Step-by-step explanation:
90×60/30= 180
HELP PLS ASAP
-5 = 5/12a pls evaluate
Answers
Answer:
a = -12
Remember that when a variable is times with a number, you divide the number on both sides.
When a variable is divided by a number, you multiply the number on both sides.
Hope this helps you. Thank you !!
Help me please explain how you did it too
Answers
Answer:
$112
Step-by-step explanation:
$168 per 12 hours of work
168/12 = 14
$14 per hour of work
14*8 = 112
$112 per 8 hours of work
I hope that this helped
168/12=14 . 14•8= 112
i am pretty sure this is the answer
Manuel buys 2 shirts at $24 each as well as one pair of pants for $35. He has a coupon for 30% off the shirts. What is the total price he will pay if there is 6% tax?
$58.10
$61.59
$72.72
$87.98
Answers
Answer:
Answer is a
Step-by-step explanation:
Evaluate the expression for k = 17.
3k =
Answers
What is the exact circumference of the circle?
10 ft
20 ft
40 ft
60 ft
Answers
Answer:20 ft
Step-by-step explanation:
please help asap i’m failing
The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?
Answers
Kim has $400 in her savings account. If she spends $50, how much will her account decrease?
Answers
Answer:
$350 left lost 50$
Step-by-step explanation:
8. Bir sınıftaki öğrenciler sıralara ikişerli oturduğunda 3 öğrenci
ayakta kalmaktadır. Üçerli oturduklarında ise 1 sira boş kal-
maktadır.
Buna göre sıra sayısını veren denklem hangi seçenekte
doğru olarak verilmiştir?
B) 2x + 3 = 3x - 1
A) 3x + 1 = 2x + 3
C) 2x - 3 = 3(x + 1)
D) 2x + 3 = 3(x - 1)
Answers
Answer:
cvp B çünkü o iki kavram birbiriyle eşit
SOMEONE PLEASE HELP ME WITH THIS I NEED HELP PLEASE ILL GIVE BRAINLY!!!!
Answers
the answer is a ^__^
PLEASE HELP I DONT KNOW THE ANSWER !! THIS IS ALGEBRA 2
Answers
Answer:
f(g(x)) = (5x)^2 = 25x^2
Step-by-step explanation:
If f(x) = x^2 and g(x) = 5x, then
f(g(x)) = (5x)^2 = 25x^2
Admission to the state fair is $8. It costs an additional $1.50 to go on a ride. Jordan spent a total of $15.50 on admission and rides.
How many rides did Jordan ride?
Answers
Answer:
15.50-8=7.5
7.5/1.50=5
Jordan went on five rides