Penjelasan dengan langkah-langkah:
Faktorial
n! = n × (n - 1) × (n - 2) × ... × 1
n > 0
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1.
[tex] \frac{3!}{4!} + \frac{1}{2} = \frac{3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} + \frac{1}{2} \\ = \frac{1}{4} + \frac{1}{2} \\ = \frac{1}{4} + \frac{2}{4} \\ = \frac{3}{4} [/tex]
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2.
[tex] \frac{1}{3} + \frac{4!}{5!} = \frac{1}{3} + \frac{4 \times 3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \\ = \frac{1}{3} + \frac{1}{5} \\ = \frac{5}{15} + \frac{3}{15} \\ = \frac{8}{15} [/tex]
[tex]\\[/tex]
3.
[tex]\frac{2!}{3!} - \frac{1!}{2!} = \frac{2 \times 1}{3 \times 2 \times 1} - \frac{1}{2 \times 1} \\ = \frac{1}{3} - \frac{1}{2} \\ = \frac{2}{6} - \frac{3}{6} \\ = - \frac{1}{6} [/tex]
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Semoga membantu.
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