What is simplify ((8!))/((4!)) ?

The solution to simplify ((8!))/((4!)) is 1680

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Evaluate (8!)/(4!)

simplify

\frac{( 8 ! )}{( 4 ! )}

1680

Solution steps

\frac{8 !}{4 !}

Cancel the factorials:

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

\frac{8 !}{4 !} = 8 \cdot 7 \cdot 6 \cdot 5

= 8 \cdot 7 \cdot 6 \cdot 5

Multiply the numbers:

8 \cdot 7 \cdot 6 \cdot 5 = 1680

= 1680

20/10

\frac{25}{4}

b, - \frac{b}{5} - 27 = - 21

z, - \frac{z}{5} - 37 = - 18

- 35/5