What is expand (14!)/((14-4)4!) ?

The solution to expand (14!)/((14-4)4!) is 363242880

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expand (14!)/((14-4)4!)

expand

\frac{14 !}{( 14 - 4 ) 4 !}

363242880

Solution steps

\frac{14 !}{( 14 - 4 ) \cdot 4 !}

Subtract the numbers:

14 - 4 = 10

= \frac{14 !}{10 \cdot 4 !}

Cancel the factorials:

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

\frac{14 !}{4 !} = 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5

= \frac{14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5}{10}

Refine

= \frac{3632428800}{10}

Divide the numbers:

\frac{3632428800}{10} = 363242880

= 363242880

(x - 3)^{\frac{5}{3}} (x + 2)

15 (x + 3 = 60)

(r^{2} - 23)^{2}

\frac{x}{( x - 5 ) ( x - 1 )}

x Y^{'} (x) + x^{4 (x - Y (x))^{2}}

What is expand (14!)/((14-4)4!) ?
The solution to expand (14!)/((14-4)4!) is 363242880