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6 February, 12:48

What is the value of 10C7?

A. 12

B. 720

C. 5040

D. 604,800

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Answers (1)
  1. 6 February, 12:54
    0
    The answer is 120

    For combinations we use:

    nCr = n! / (r! (n-r) !)

    10C7 = ?

    n = 10

    r = 7

    10C7 = 10! / (7! (10-7) !)

    = (10*9*8*7*6*5*4*3*2*1) / (7*6*5*4*3*2*1*3!)

    = 3628800 / (5040 * 3*2*1)

    = 3628800/30240

    = 120
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