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3 years ago

Evaluate 9 P 5. 15,120 45 362,880

Mathematics

2 answers:

Andreas93 [3]3 years ago

8 0

The answer------> <span>9*8*7*6*5 = 15120 </span>

Sergio [31]3 years ago

8 0

Answer: 15,120

Step-by-step explanation:

The number of permutations of n objects taken r at one time $^nP_r$ is calculated by the following formula:

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

Now, the given expression is $^9P_5$

by using the above formula , we get

$^9P_5=\frac{9!}{(9-5)!}\\\\=\frac{9!}{4!}\\\\=\frac{9\times8\times7\times6\times5\times4!}{4!}\\\\=9\times8\times7\times6\times5=15120$

Hence, $^9P_5=15,120$

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Step-by-step explanation:

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step 2

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we have

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step 3

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Step-by-step explanation:

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2 years ago

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