Evaluate the following equation: 9P6 a. 60480 b. 60505 c. 60495 d. 60470

Question

Evaluate the following equation:

9P6

a. 60480
b. 60505
c. 60495
d. 60470

0

Answers ( No )

    0
    2022-01-05T22:35:41+00:00

    The answer is=A)60480

    0
    2022-01-05T22:36:02+00:00

    Answer:

    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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