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3 years ago

Help please 20 points and brainliest!!!

Mathematics

1 answer:

Akimi4 [234]3 years ago

4 0

Answer:

Step-by-step explanation:

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

Kipish [7]

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

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

5 0

3 years ago

Eddi Din [679]

15 and the error is on step 3

Reasoning:
I’m not certain how they got 1.5 but you basically divide both sides by two, the 2 would be canceled and you would be left with w, divide 30 by 2 and you get w=15, sorry i suck at explaining

5 0

3 years ago