What is ((10!)/((10-5)!5!))(20/100)^5(80/100)^5 ?

The solution to ((10!)/((10-5)!5!))(20/100)^5(80/100)^5 is 258048/9765625

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simplify ((10!)/((10-5)!5!))(20/100)^5(80/100)^5

simplify

(\frac{10 !}{( 10 - 5 ) ! 5 !}) (\frac{20}{100})^{5} (\frac{80}{100})^{5}

\frac{258048}{9765625}

Decimal Notation

0.0264241152

Solution steps

(\frac{10 !}{( 10 - 5 ) ! \cdot 5 !}) (\frac{20}{100})^{5} (\frac{80}{100})^{5}

Apply rule:

(a) = a

(\frac{10 !}{( 10 - 5 ) ! \cdot 5 !}) = \frac{10 !}{( 10 - 5 ) ! \cdot 5 !}

= \frac{10 !}{( 10 - 5 ) ! \cdot 5 !} (\frac{20}{100})^{5} (\frac{80}{100})^{5}

(\frac{20}{100})^{5} = \frac{1}{3125}

= \frac{10 !}{( 10 - 5 ) ! \cdot 5 !} \cdot \frac{1}{3125} (\frac{80}{100})^{5}

(\frac{80}{100})^{5} = \frac{1024}{3125}

= \frac{10 !}{( 10 - 5 ) ! \cdot 5 !} \cdot \frac{1}{3125} \cdot \frac{1024}{3125}

Cancel

\frac{10 !}{( 10 - 5 ) ! \cdot 5 !} : 252

= 252 \cdot \frac{1}{3125} \cdot \frac{1024}{3125}

252 \cdot \frac{1}{3125} \cdot \frac{1024}{3125} = \frac{258048}{9765625}

= \frac{258048}{9765625}

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What is ((10!)/((10-5)!5!))(20/100)^5(80/100)^5 ?
The solution to ((10!)/((10-5)!5!))(20/100)^5(80/100)^5 is 258048/9765625