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Popular >

simplify (20!)/(14!*6!)

Solution

simplify

\frac{20 !}{14 ! \cdot 6 !}

Solution

38760

Solution steps

\frac{20 !}{14 ! \cdot 6 !}

Cancel the factorials:

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

\frac{20 !}{14 !} = 20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15

= \frac{20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15}{6 !}

\frac{20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15}{6 !} = 38760

= 38760

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Frequently Asked Questions (FAQ)

What is (20!)/(14!*6!) ?
The solution to (20!)/(14!*6!) is 38760