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Popular >

simplify (12!)/(4!8!)

Solution

simplify

\frac{12 !}{4 ! 8 !}

Solution

495

Solution steps

\frac{12 !}{4 ! \cdot 8 !}

Cancel the factorials:

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

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

= \frac{12 \cdot 11 \cdot 10 \cdot 9}{4 !}

\frac{12 \cdot 11 \cdot 10 \cdot 9}{4 !} = 495

= 495

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Frequently Asked Questions (FAQ)

What is (12!)/(4!8!) ?
The solution to (12!)/(4!8!) is 495