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VMariaS [17]
3 years ago
9

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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