What is (\frac{5!)/(1!(5-1)!)*(8!)/(3!(8-3)!)}{(13!)/(4!(13-4)!)} ?

The solution to (\frac{5!)/(1!(5-1)!)*(8!)/(3!(8-3)!)}{(13!)/(4!(13-4)!)} is 56/143

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simplify (\frac{5!)/(1!(5-1)!)*(8!)/(3!(8-3)!)}{(13!)/(4!(13-4)!)}

simplify

\frac{\frac{5 !}{1 ! ( 5 - 1 ) !} \cdot \frac{8 !}{3 ! ( 8 - 3 ) !}}{\frac{13 !}{4 ! ( 13 - 4 ) !}}

\frac{56}{143}

Decimal Notation

0.39160 \dots

Solution steps

\frac{\frac{5 !}{1 ! ( 5 - 1 ) !} \cdot \frac{8 !}{3 ! ( 8 - 3 ) !}}{\frac{13 !}{4 ! ( 13 - 4 ) !}}

\frac{5 !}{1 ! ( 5 - 1 ) !} \cdot \frac{8 !}{3 ! ( 8 - 3 ) !} = 280

= \frac{280}{\frac{13 !}{4 ! ( 13 - 4 ) !}}

Cancel

\frac{13 !}{4 ! ( 13 - 4 ) !} : 715

= \frac{280}{715}

Factor the number:

280 = 5 \cdot 56

= \frac{5 \cdot 56}{715}

Factor the number:

715 = 5 \cdot 143

= \frac{5 \cdot 56}{5 \cdot 143}

Cancel the common factor:

5

= \frac{56}{143}

b^{3} - 64

\frac{9}{4} y - 12 = \frac{1}{4} y - 4

4 \cdot 1 0^{- 7}

\frac{y ^{- 3}}{y ^{- 4}}

- 2 (x + 3) - x < 3

What is (\frac{5!)/(1!(5-1)!)*(8!)/(3!(8-3)!)}{(13!)/(4!(13-4)!)} ?
The solution to (\frac{5!)/(1!(5-1)!)*(8!)/(3!(8-3)!)}{(13!)/(4!(13-4)!)} is 56/143