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Popular >

simplify (7!)/(5!(2!))

Solution

simplify

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

Solution

21

Solution steps

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

Apply rule:

(a) = a

(2!) = 2!

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

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 !}

\frac{7 \cdot 6}{2 !} = 21

= 21

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Frequently Asked Questions (FAQ)

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