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Ответ:

makaileep7449

13.03.2021

Mathematics

Number of arrangements is 604800

Step-by-step explanation:

Given

Mouse = 10 --- Total

Mouse = 7 --- Arrangement

Required

Determine the number of ways

Since, it is an arrangement, then we make use of the following permutation formula to answer this question.

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

Where

n = 10

r = 7

So:

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

$^{10}P_7 = \frac{10!}{(10-7)!}$

$^{10}P_7 = \frac{10!}{3!}$

$^{10}P_7 = \frac{3628800}{6}$

$^{10}P_7 = 604800$

Hence, number of arrangements is 604800

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