what is the value of the expression? 9c3?

Question

what is the value of the expression?

9c3?

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2022-05-23T03:15:31+00:00 2 Answers 0

Answers ( 2 )

  1. Autumn
    0
    2022-05-23T03:16:46+00:00

    Answer:

    The value of the expression is:

    84

    Step-by-step explanation:

    We have to find the value of the expression:

    [tex]9_C_3[/tex]

    i.e. we have to find the value of the combination.

    We know that a combination of r choices out of n given objects is calculated as:

    [tex]n_C_r=dfrac{n!}{r!(n-r)!}[/tex]

    Here wehave :

    n=9 and r=3.

    Hence the value of the given combination is calculated as:

    [tex]9_C_3=dfrac{9!}{3!times (9-3)!}9_C_3=dfrac{9!}{3!times 6!}9_C_3=dfrac{9times 8times 7}{3times 2}9_C_3=84[/tex]

    Hence, the value of the expression is:

    84

  2. Melanie
    0
    2022-05-23T03:17:26+00:00

    9C3 = 9!/(3!(9-3)!) = 9!/ (3!*6!) = (9*8*7*6!)/(3!*6!) = (9*8*7)/3! = 84

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