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:
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Related Questions
Which equation represents this statement?
"Five more than twice a number, x
, is equal to one less than three times that same number, x
."
A: 2 x+ 5 = 3 x- 1
B: 5 x= 3 x- 1
C:2 x+ 5 = 3( x- 1)
D: 5 + 2 x= 1 - 3 x
Answers
Answer:
A
Step-by-step explanation:
5 + 2x = 3x - 1
I NEED HELP WITH THE CHART!!! URGENT HELP PLEASE!!!!!!!!!!!!!!!!
60 people attend a game night. Everyone chooses to play chess, a two-player game, or cribbage, a four-player game. All 60 people are playing either chess or cribbage.
Complete this table showing some possible combinations of the number of each type of game being played:
Answers
Answer: I got 14, 9, 0, then 14. but you might want to wait on someone to double check that
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP ME PLEASEEEEEEEEE
Kristine wants to do hardwood flooring for her room. A floor plan of the room (in feet) is shown. How much hardwood
flooring does she need?
8
6
8
2
6
2
12
Оа
Ob
Ос
Od
144 ft?
112 ft?
116 ft?
60 ft
Answers
Answer:
116 c
Step-by-step explanation:
Answer:
116 ft²
Step-by-step explanation:
8x8=64
12x2=24
2x6=12
4x4=16
64+24+12+16=116
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the missing part.
x= ?
Answers
Answer:
X = 2√41
Step-by-step explanation:
Uaing the pothagorean therom, (a squared plus b squared equals c squared) find the square of both 8 and 10 which are
8 squared - 64
10 squared - 100
Add them together to get
164
√164 = x
You can reduce that to 2√41
I urgently need help!!!!!!
Answers
Answer:
Step-by-step explanation:
e
Answer:
Angle KMN is 79°
Hope this helps.
6x + y = -1
y=-3x - 4
Answers
Answer:
x = 1, y = 7
Step-by-step explanation:
If y = -3x - 4, then
6x -3x -4 = 1
3x - 4 =-1
3x = 3
x = 1
If x = 1, then
y = -3*1 -4 = -3 -4 = -7
pls help me I need to get to a 100 and I will mark you. ❤️
Answers
Answer:
It was greater from 2015 to 2016.
Step-by-step explanation:
From 2015 to 2016 it was a 30 person difference
From 2014 to 2017 there was a 5 person difference
simplfy
(9b + 5) + (3b – 6)
Answers
Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.
Answers
Answer:
[tex]-3\frac{1}{2}<-3\frac{1}{3}[/tex]
Step-by-step explanation:
-3.5 means -(3 + [tex]\frac{1}{2}[/tex])
In other words, -3.5 = [tex]-3\frac{1}{2}[/tex]
When we draw two numbers [tex]-3\frac{1}{3}[/tex] and [tex]-3\frac{1}{2}[/tex] on a number line, [tex]-3\frac{1}{2}[/tex] comes first from left to right.
We know that all the numbers on a number line from left to right are in increasing order.
Therefore, [tex]-3\frac{1}{2}[/tex] is smaller than [tex]-3\frac{1}{3}[/tex].
[tex]-3\frac{1}{2}<-3\frac{1}{3}[/tex]
Lauren is not correct.
Yesterday, a parking lot had 60 cars parked in it. Of the cars parked in the parking lot, 40% were silver, 14 were red, and the rest were blue. How many of the cars were blue?
A. 24 cars
B. 38 cars
C. 22 cars
D. 6 cars
Answers
Answer:
C. 22 Cars are Blue
Answer:
22
Step-by-step explanation:
no:of silver cars=60*40/100 ie 24
no:of red cars ie 14
total cars=silver+red+blue
60=24+14+blue
60=38+blue
blue cars=60-38
ie 22
HELP ASAP PLEASE
The expression |-2-(-3) can be used to find the difference between point A and which other point?
A. Point B
B. Point C
C. Point D
D. Point E
Answers
Answer:
C. Point D
Step-by-step explanation:
Distance between two points
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
If both points have the same y-coordinate (y=z), then
[tex]d = |w - x|[/tex]
Point A has coordinates (-2,3). Point D has coordinates (-3,3). The distance between them is
[tex]d = | -2 - (-3) |[/tex]
Thus the correct choice is
C. Point D
Which point best indicates the location of V45on the number line below?
A.Point A
B.Point B
C.Point C
D. Point D
Answers
- Find the length of the missing side of the light the
8 cm
15 cm
A.)289 cm
B.)17 cm
C.)23 cm
D.)4.79 cm
Answers
Answer: I think its D
Step-by-step explanation:
Given the sequence 31,24,17,10......
What would the 11th term of the sequence be?
The 11th term of the sequence is
Scientific Calculator
Answers
Answer:
-39
Step-by-step explanation:
This sequence follows the pattern of subtracting 7 each time. We can prove this:
31 - 7 = 24, 24 - 7 = 17, 17 - 7 = 10
So if we were to continue to the 11th term, we would subtract 7 more times.
1. 10 - 7 = 3
2. 3 - 7 = -4
3. -4 - 7 = -11
4. -11 - 7 = -18
5. -18 - 7 = -25
6. -25 - 7 = -32
7. -32 - 7 = -39
The 11th term in the sequence would be -39.
what is -5x^2 = -50?
Answers
Answer:
x = 3.1622776
Step-by-step explanation:
5x^2 = -50
5x-(-50)=9
Use the quadratic formula
x= -0 ±√0^2-4*5*50/ 2*5
Simplify
x=0 ± √-1000/10
answer: No real solutions because the discriminant is negative
please help me ASAP this is hard
Answers
Answer:
31/40
Step-by-step explanation:
you only got 9 right side up, so you'll have to add the numbers that aren't right side up together and divide it by 40 since the total tosses is 40.
john makes $400 per week. What does it mean for him to get a 150% salary raise? Explain in words and then give an example showing a calculation.
can u guys plzzzzzzzzzzzz help me
Answers
Find the percentage of the following:
1.25% of 60
2.75% of 20
3.20% of 10
4.50% of 100
5.5% of 30
Answers
2.)15
3.)2
4.)50
5.)1.5
Hamburger: $6.00
Fries: $2.00
Tax: 7%
Tip: 20%
Total: ___
Answers
Answer:
$10.27
Step-by-step explanation:
H + F = $8, (7% of 8 is 0.56) [$8.56] + 20% = 10.272 --> $10.27
Use distributive property to rewrite expression -8((-2-3/4)-8)
Answers
Answer:
-86
Step-by-step explanation:
-8((-11/4)-8)
((11/4-8)
8x(-43/4)
-2×43=-86
Simplify the ratio 40 : 144
Answers
40= 20
144= 72
Divide by 2 again
20=10
72=36
Divide by 2 one more time
10=5
36=18
Ans= 5:18
in parallelogram DEFG if m< GDE=50° find m
Answers
Answer:
130°
Step-by-step explanation:
180-50=130°
HELP PLEASE THIS IS HARD!!!
Solve and check
6x - 5x + 7x = 34
Answers
Answer:
Step-by-step explanation:
6x-5x+7x=34
x+7x=34
8x=34
x=[tex]\frac{34}{8}[/tex]
Answer:
X= 5 2/3
Step-by-step explanation:
Combine Like terms
6x=34
Inverse Operation
x=35/6
Simplify
X=5 2/3
Solve the system by substitution.
1. y = -6x – 7
y = -7x
2. -y=x
3x+5y=20
Answers
Answer:
For no. 1:
One of the equations say that y=-7x
So plug in -7x to the other equation as y so you equation would be
-7x= -6x-7
And then, just solve for the variable:
*add -6x to both sides*:
-x= -7
*multiply both by negative one to get a positive variable*
FOR NUMBER 1, THE ANSWER IS:
x=7
Y=-7
For no. 2:
-y=x and your other equation is 3x+5y=20
Plug in x as -y:
-3y+5y=20
*simplify*
2y=20
*divide by 2 on each side to get 1 variable alone*
Y=10
FOR NUMBER 2, THE ANSWER IS:
x=-y
Y=10
the solution to the equation?
Answers
add like terms :)
What distance is traveled by a car going 80 km/h in a time of 4 hours 30 minutes? (please say the equation you used as well)
Answers
Answer:
360 miles
Step-by-step explanation:
(4 x 80) + 40
Can I have brainlyiest
write n^5 x n^2 without exponents
Answers
The value without Exponent are n x n x n x n x n x n x n.
What are Exponents and Powers?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.
Given:
[tex]n^5[/tex] x n²
Using the Property of Exponents and power
[tex]a^m[/tex] x [tex]a^n = a^{m+n[/tex]
So, [tex]n^5[/tex] x n²
= [tex]n^{5+2}[/tex]
= [tex]n^7[/tex]
= n x n x n x n x n x n x n
Hence, the exponents is n x n x n x n x n x n x n.
Learn more about Exponent and power here:
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If 7x−2+5x−12+3 is simplified, which description best matches the equivalent expression
Answers
A number,y,is 2 more than 3 times another number,x, the sum of the 2 numbers is 26. What are the two numbers?
Answers
x + y = 26
Substitute:
x + (2 + 3x) = 26
4x + 2 = 26
4x = 24
x = 6
6 + y = 26
y = 20
What is the value of f if 9f+11=3f+23
Answers
Answer:
f=2
Step-by-step explanation:
9f+11
If f is two, 9f = 18.
11+18= 29
3f +23
If F is two, then 3f = 6.
6+23=29.
Well, look there- both answers are equal so F equals 2
F=2