What is (7!)/((7-3)!*3!) ?

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

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

simplify

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

35

Solution steps

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

Subtract the numbers:

7 - 3 = 4

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

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

64 x - x^{3}

x^{2} - 30 x

2 x^{4} + 7 x^{2} + 6

x^{3} - 7 x^{2} + 14 x - 6

9 - u^{2}