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Popular >

simplify (7!)/(3!(7-3)!)

Solution

simplify

\frac{7 !}{3 ! ( 7 - 3 ) !}

Solution

35

Solution steps

\frac{7 !}{3 ! ( 7 - 3 ) !}

Subtract the numbers:

7 - 3 = 4

= \frac{7 !}{3 ! \cdot 4 !}

Cancel the factorials:

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

\frac{7 !}{4 !} = 7 \cdot 6 \cdot 5

= \frac{7 \cdot 6 \cdot 5}{3 !}

\frac{7 \cdot 6 \cdot 5}{3 !} = 35

= 35

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Frequently Asked Questions (FAQ)

What is (7!)/(3!(7-3)!) ?
The solution to (7!)/(3!(7-3)!) is 35