Hitunglah nilai n jika: nC3 = 8 nC2
Matematika
hyatony99
Pertanyaan
Hitunglah nilai n jika:
nC3 = 8 nC2
nC3 = 8 nC2
2 Jawaban
-
1. Jawaban Anonyme
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 -
2. Jawaban Anonyme
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