What is ((2n)!)/((2n-3)!) ?

The solution to ((2n)!)/((2n-3)!) is 2n(2n-1)(2n-2)

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simplify ((2n)!)/((2n-3)!)

simplify

\frac{( 2 n ) !}{( 2 n - 3 ) !}

2 n (2 n - 1) (2 n - 2)

Solution steps

\frac{( 2 n ) !}{( 2 n - 3 ) !}

Cancel the factorials:

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

\frac{( 2 n ) !}{( 2 n - 3 ) !} = 2 n (2 n - 1) (2 n - 2)

= 2 n (2 n - 1) (2 n - 2)

\frac{5}{8} + \frac{3}{2}

\frac{7}{y} \cdot \frac{1}{x}

\frac{21}{42}

\frac{2}{5} \div \frac{7}{10}

\frac{- 2}{5}