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17 December, 07:03

Find the value of each of these quantities. a) C (5,1) c) C (8, 4) e) C (8, 0) b) C (5,3) d) C (8, 8) f) C (12, 6)

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  1. 17 December, 07:46
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    a) 5

    b) 10

    c) 70

    d) 1

    e) 1

    f) 924

    Explanation:

    a) C (5,1)

    By combination method nCr = n! / (n-r) ! r!

    = 5C1 = 5! / (5-1) !1!

    = 5

    b) C (5,3)

    5C3 = 5! / (5-3) !3!

    = 10

    c) C (8, 4)

    8C4 = 8! / (8-4) !4!

    = 70

    d) C (8, 8)

    = 8C8 = 8! / (8-8) !8!

    = 1

    e) C (8, 0)

    8C0 = 8! / (8-0) !0!

    = 1

    f) C (12, 6)

    = 12C6 = 12! / (12-6) !6!

    = 924
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