Mathematics: Evaluate the following equation: 9p6 a. 60480 b. 60505 c. 60495 d. 60470

Step-by-step explanation:what us the answere...

Evaluate the following equation: 9p6 a. 60480 b.

Ответ:

selenamr

15.03.2022

Mathematics

Option: a is the answer.

a. 60480

Step-by-step explanation:

We are asked to find the value of:

9_P_6

where P represents the permutation i.e. the arrangement of 6 components out of the 9 components.

We know that a permutation of choosing r elements out of the n elements is calculated as:

$n_P_r=\dfrac{n!}{(n-r)!}$

Now, the value of 9_P_6 is:

$9_P_6=\dfrac{9!}{(9-6)!}\\\\9_P_6=\dfrac{9!}{3!}\\\\9_P_6=\dfrac{9\times 8\times 7\times 6\times 5\times 4\times 3!}{3!}\\\\9_P_6=9\times 8\times 7\times 6\times 5\times 4\\\\9_P_6=60480$

Hence, option a is the correct answer.

a. 60480

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Ответ:

southerntouch103

07.09.2022

Mathematics

Step-by-step explanation:

what us the answe

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Evaluate the following equation: 9p6 a. 60480 b. 60505 c. 60495 d. 60470

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