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Popular >

expand (7!)/(2!5!)

Solution

expand

\frac{7 !}{2 ! 5 !}

Solution

21

Solution steps

\frac{7 !}{2 ! \cdot 5 !}

Cancel the factorials:

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

\frac{7 !}{5 !} = 7 \cdot 6

= \frac{7 \cdot 6}{2 !}

Refine

= \frac{42}{2 !}

2! = 2

= \frac{42}{2}

Divide the numbers:

\frac{42}{2} = 21

= 21

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Frequently Asked Questions (FAQ)

What is expand (7!)/(2!5!) ?
The solution to expand (7!)/(2!5!) is 21