What is simplify ((52!))/(((52-4)!*4!)) ?

The solution to simplify ((52!))/(((52-4)!*4!)) is 270725

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(52!)/((52-4)!*4!)

simplify

\frac{( 52 ! )}{( ( 52 - 4 ) ! \cdot 4 ! )}

270725

Solution steps

\frac{52 !}{( 52 - 4 ) ! \cdot 4 !}

Subtract the numbers:

52 - 4 = 48

= \frac{52 !}{48 ! \cdot 4 !}

Cancel the factorials:

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

\frac{52 !}{48 !} = 52 \cdot 51 \cdot 50 \cdot 49

= \frac{52 \cdot 51 \cdot 50 \cdot 49}{4 !}

\frac{52 \cdot 51 \cdot 50 \cdot 49}{4 !} = 270725

= 270725

\frac{( - 8 x ^{3} + 18 x ^{2} - 11 x + 21 )}{( - 2 x + 3 )}

2 x^{2} = 2 x - 3

\frac{121}{16}

x, - 5 x = - 10

k, - 7 k - 4 k = 8 - 2 k - 8 k

What is simplify ((52!))/(((52-4)!*4!)) ?
The solution to simplify ((52!))/(((52-4)!*4!)) is 270725