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Dovator [93]
3 years ago
10

If A = 8! and B = 8P8, then which one of the following is true:

Mathematics
1 answer:
meriva3 years ago
4 0

Answer:

A. A = B

Step-by-step explanation:

Given

A = 8!

B = ^8P_8

Required

Which of the options is true

We start by simplifying B = ^8P_8

Permutation is calculated as follows

^nP_r = \frac{n!}{(n - r)!}

So.

^8P_8 =\frac{8!}{(8 - 8)!}

^8P_8 =\frac{8!}{0!}

0! = 1; So

^8P_8 =\frac{8!}{1}

^8P_8 =8!

Hence. B! = P!

<em>This implies that </em>A = B = 8!<em />

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