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Popular >

simplify (17!)/(5!12!)

Solution

simplify

\frac{17 !}{5 ! 12 !}

Solution

6188

Solution steps

\frac{17 !}{5 ! \cdot 12 !}

Cancel the factorials:

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

\frac{17 !}{12 !} = 17 \cdot 16 \cdot 15 \cdot 14 \cdot 13

= \frac{17 \cdot 16 \cdot 15 \cdot 14 \cdot 13}{5 !}

\frac{17 \cdot 16 \cdot 15 \cdot 14 \cdot 13}{5 !} = 6188

= 6188

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Frequently Asked Questions (FAQ)

What is (17!)/(5!12!) ?
The solution to (17!)/(5!12!) is 6188