Matematika

Pertanyaan

Hitunglah nilai n jika:
nC3 = 8 nC2

2 Jawaban

  • Kombinasi

    nC3 = 8 . nC2
    n! / 3! (n - 3)! = 8 . n! /2! (n - 2)!
    (n - 2)! / (n - 3)! = 4 . 3!
    (n - 2)(n - 3)! / (n - 3)! = 24
    n - 2 = 24
    n = 26


  • n!/((n - 3)!3!) = 8n!/((n - 2)!2!)
    n(n - 1)(n - 2)(n - 3)!/(6(n - 3)!) = 8n(n - 1)(n - 2)!/(2(n - 2)!)
    (n - 2)/6 = 4
    n - 2 = 24
    n = 26

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