1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oxana [17]
3 years ago
6

Write 25*24*23*22 as a quotient of factorials and as a permutation

Mathematics
1 answer:
Kipish [7]3 years ago
5 0

Answer:

(a)

25\times 24\times 23\times 22=\frac{25!}{21!}

(b)

25\times 24\times 23\times 22=P(25,4)

Step-by-step explanation:

Quotient of factorials:

we are given

25\times 24\times 23\times 22

we can multiply top and bottom term by 21!

25\times 24\times 23\times 22=\frac{25\times 24\times 23\times 22\times 21!}{21!}

we can write as

25\times 24\times 23\times 22=\frac{25!}{21!}

As a permutation:

we know permutation formula

P(n,r)=\frac{n!}{(n-r)!}

now, we can compare and find 'n' and 'r'

n=25

n-r=21

we can plug back n=25

25-r=21

r=4

so, we can write

25\times 24\times 23\times 22=P(25,4)

You might be interested in
Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.
nadya68 [22]

Answer:

f'(x)=2(e^4^x)+(x^2+1)(4e^4^x)

Step-by-step explanation:

The derivative of the function:

(x^2+1)e^4^x

The rule for the product of two functions:

f'(x)=g'(x)h(x)+g(x)h'(x)

Therefore

g(x)=x^2+1

g'(x)=2

f(x)=e^4^x

f'(x)=4e^4^x

f'(x)=2(e^4^x)+(x^2+1)(4e^4^x)

4 0
3 years ago
One way to recognize a line of symmetry is to look for a line that divides the original image into?
Hunter-Best [27]

Answer:

Half

Step-by-step explanation:

by dividing in half, it shows both sides are equal/symmetric

hope this helps:)

4 0
2 years ago
Read 2 more answers
Pls help I’m failing math I’ll brainlest for the right answer grades close today
tatyana61 [14]

answer: i think that it would increase by about 20 percent

i am not sure, if i m wrong then i am very sorry!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Picture 1 : Is the volume of this 18ml.
sattari [20]
I can't tell what the numbers are on the first one but you got the second one right, and the last one would be different it would be 24 I believe.
6 0
3 years ago
4. Ten less than the product of six and eight less than a number
ICE Princess25 [194]

Answer: 38

Step-by-step explanation:

6 x 8 = 48

48 - 10 = 38

7 0
3 years ago
Other questions:
  • Use the order of operations to simplify the expression: 23 + 5 × 10 ÷ 2 – 33 + (11 – 8)
    14·2 answers
  • Find two consecutive whole numbers that the square root of 47<br> lies between.
    15·1 answer
  • PLS HELP ASAP! 10 points given xx
    10·2 answers
  • What is -7 divided by 1/2?
    10·2 answers
  • How do you divide $306 into the ratio of 9:5:3? Can someone give me some advice on how to solve this problem?
    8·1 answer
  • A grocery sells fruit boxes which include four oranges, three apples and one banana. One day they sell 48 oranges in their fruit
    13·2 answers
  • 2/5 + 1/4 what is the answer
    6·2 answers
  • -3(2x-3)= -5x+5 show your work
    11·2 answers
  • Can someone help me answer
    13·2 answers
  • I need help with this question I beeen stuck on it
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!