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Popular >

simplify (52!)/(47!5!)

Solution

simplify

\frac{52 !}{47 ! 5 !}

Solution

2598960

Solution steps

\frac{52 !}{47 ! \cdot 5 !}

Cancel the factorials:

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

\frac{52 !}{47 !} = 52 \cdot 51 \cdot 50 \cdot 49 \cdot 48

= \frac{52 \cdot 51 \cdot 50 \cdot 49 \cdot 48}{5 !}

\frac{52 \cdot 51 \cdot 50 \cdot 49 \cdot 48}{5 !} = 2598960

= 2598960

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Frequently Asked Questions (FAQ)

What is (52!)/(47!5!) ?
The solution to (52!)/(47!5!) is 2598960