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Popular >

simplify (20!)/(4!*6!)

Solution

simplify

\frac{20 !}{4 ! \cdot 6 !}

Solution

1.40793 E 14

Solution steps

\frac{20 !}{4 ! \cdot 6 !}

Cancel the factorials:

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

\frac{20 !}{6 !} = 20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7

= \frac{20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7}{4 !}

\frac{20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7}{4 !} = 1.40793 E 14

= 1.40793 E 14

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Frequently Asked Questions (FAQ)

What is (20!)/(4!*6!) ?
The solution to (20!)/(4!*6!) is 1.40793E14