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Popular >

simplify (12!)/(5!*7!)

Solution

simplify

\frac{12 !}{5 ! \cdot 7 !}

Solution

792

Solution steps

\frac{12 !}{5 ! \cdot 7 !}

Cancel the factorials:

\frac{n !}{( n - m ) !} = n \cdot (n - 1) \dots (n - m + 1), n > m

\frac{12 !}{7 !} = 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8

= \frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8}{5 !}

\frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8}{5 !} = 792

= 792

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Frequently Asked Questions (FAQ)

What is (12!)/(5!*7!) ?
The solution to (12!)/(5!*7!) is 792