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Popular >

simplify (20!)/(4!16!)

Solution

simplify

\frac{20 !}{4 ! 16 !}

Solution

4845

Solution steps

\frac{20 !}{4 ! \cdot 16 !}

Cancel the factorials:

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

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

= \frac{20 \cdot 19 \cdot 18 \cdot 17}{4 !}

\frac{20 \cdot 19 \cdot 18 \cdot 17}{4 !} = 4845

= 4845

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Frequently Asked Questions (FAQ)

What is (20!)/(4!16!) ?
The solution to (20!)/(4!16!) is 4845