Revisi per 28 Maret 2021 10.04 sunting Akuindo (bicara \| kontrib) 43.423 suntingan →‎Contoh penggunaan kombinasi ← Revisi sebelumnya		Revisi per 28 Maret 2021 10.05 sunting balikkan Akuindo (bicara \| kontrib) 43.423 suntingan →‎Contoh penggunaan kombinasi Revisi selanjutnya →
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 ;: <math>C^{5}_3 + C^{4}_3 + C^{3}_3 = \frac{5!}{3! (5-3)!} + \frac{4!}{3! (4-3)!} + \frac{3!}{3! (3-3)!} = \frac{5!}{3! 2!} + \frac{4!}{3! 1!} + \frac{3!}{3! 0!} = \frac{5 \cdot 4 \cdot 3!}{2 \cdot 1 \cdot 3!} + \frac{4 \cdot 3!}{1 \cdot 3!} + \frac{3!}{1 \cdot 3!} = 10 + 4 + 1 = 15</math> cara berbeda ;: <math>C^{5}_1 \cdot C^{4}_1 \cdot C^{3}_1 = \frac{5!}{1! (5-1)!} \cdot \frac{4!}{1! (4-1)!} \cdot \frac{3!}{1! (3-1)!} = \frac{5!}{1! 4!} \cdot \frac{4!}{1! 3!} \cdot \frac{3!}{1! 2!} = \frac{5 \cdot 4!}{1 \cdot 4!} \cdot \frac{4 \cdot 3!}{1 \cdot 3!} \cdot \frac{3 \cdot 2!}{1 \cdot 2!} = 5 \cdot 4 \cdot 3 = 60</math> cara ** dua diantaranya sama ;: <math>C^{5}_2 \cdot C^{4}_1 + C^{5}_2 \cdot C^{3}_1 + C^{4}_2 \cdot C^{5}_1 + C^{4}_2 \cdot C^{3}_1 + C^{3}_2 \cdot C^{5}_1 + C^{3}_2 \cdot C^{4}_1 = \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!}

Kombinasi: Perbedaan antara revisi