What is simplify ((8!))/((5!*3!)) ?

The solution to simplify ((8!))/((5!*3!)) is 56

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Evaluate (8!)/(5!*3!)

simplify

\frac{( 8 ! )}{( 5 ! \cdot 3 ! )}

56

Solution steps

\frac{8 !}{5 ! \cdot 3 !}

Cancel the factorials:

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

\frac{8 !}{5 !} = 8 \cdot 7 \cdot 6

= \frac{8 \cdot 7 \cdot 6}{3 !}

\frac{8 \cdot 7 \cdot 6}{3 !} = 56

= 56

2 x + 5 y = - 4, 3 x - y = 11

\frac{22}{( 2 )}

75 x^{3}

64 x^{4}

x^{\frac{1}{2}}

What is simplify ((8!))/((5!*3!)) ?
The solution to simplify ((8!))/((5!*3!)) is 56