Kombinasi: Perbedaan antara revisi
Konten dihapus Konten ditambahkan
Baris 173:
: <math>C^{12}_3 = \frac{12!}{3! (12-3)!} = \frac{12!}{3! 9!} = \frac{12 \cdot 11 \cdot 10 \cdot 9!}{3 \cdot 2 \cdot 1 \cdot 9!} = 220</math> cara
** sama
** berbeda
** dua diantaranya sama
= \frac{5!}{2! (5-2)!} \cdot \frac{4!}{1! (4-1)!} + \frac{5!}{2! (5-2)!} \cdot \frac{3!}{1! (3-1)!} + \frac{4!}{2! (4-2)!} \cdot \frac{5!}{1! (5-1)!} + \frac{4!}{2! (4-2)!} \cdot \frac{3!}{1! (3-1)!} + \frac{3!}{2! (3-2)!} \cdot \frac{5!}{1! (5-1)!} + \frac{3!}{2! (3-2)!} \cdot \frac{4!}{1! (4-1)!}
= \frac{5!}{2! 3!} \cdot \frac{4!}{1! 3!} + \frac{5!}{2! 3!} \cdot \frac{3!}{1! 2!} + \frac{4!}{2! 2!} \cdot \frac{5!}{1! 4!} + \frac{4!}{2! 2!} \cdot \frac{3!}{1! 2!} + \frac{3!}{2! 1!} \cdot \frac{5!}{1! 4!} + \frac{3!}{2! 1!} \cdot \frac{4!}{1! 3!}
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