What is (5!)/(2!*(5-2)!) ?

The solution to (5!)/(2!*(5-2)!) is 10

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simplify (5!)/(2!*(5-2)!)

simplify

\frac{5 !}{2 ! \cdot ( 5 - 2 ) !}

10

Solution steps

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

Subtract the numbers:

5 - 2 = 3

= \frac{5 !}{2 ! \cdot 3 !}

Cancel the factorials:

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

\frac{5 !}{3 !} = 5 \cdot 4

= \frac{5 \cdot 4}{2 !}

\frac{5 \cdot 4}{2 !} = 10

= 10

3 x + 18 - x = 46

3 x + 12

- 5 < \frac{3 x - 1}{4} < 0

\frac{1 + \frac{1}{c - 1}}{1 - \frac{1}{c - 1}}

9 w^{2} + 42 w + 49