What is (3!)/((3-1)!*1!) ?

The solution to (3!)/((3-1)!*1!) is 3

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simplify (3!)/((3-1)!*1!)

simplify

\frac{3 !}{( 3 - 1 ) ! \cdot 1 !}

3

Solution steps

\frac{3 !}{( 3 - 1 ) ! \cdot 1 !}

Subtract the numbers:

3 - 1 = 2

= \frac{3 !}{2 ! \cdot 1 !}

Cancel the factorials:

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

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

= \frac{3}{1 !}

\frac{3}{1 !} = 3

= 3

∣ 5 x - 1 ∣ < 16

24 m + 20 m - 12 = 164

f = 24.425 (0.947)^{117}

8 x^{3} + y^{9}