Matematika Diskrit Soal ke-2


Soal :
Toko roti “Lezat” menjual 8 macam roti.  Berapa jumlah cara mengambil 1 lusin roti ? (1 lusin = 12 buah)

Jawab:

n = 8 macam roti
r = 1 lusin roti = 12 buah roti
Jumlah cara = C(n+r-1, r) = C(8+12-1, 12) = C(19, 12) = 19C12

 

19C12 = 19! / 12! (19-12)!
= 19! / 12! 7!
= 19 * 18 * 17 * 16 * 15 *14 * 13 * 12! / 12! 7!
= 19 * 18 * 17 * 16 * 15 *14 * 13 / 7 * 6 * 5 * 4 *3 * 2 * 1
= 253955520 / 5040
= 50388 cara.

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