What is expand \binom{20}{15}2^{15} ?

The solution to expand \binom{20}{15}2^{15} is 131072/3

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expand \binom{20}{15}2^{15}

expand

(15 20) 2^{15}

\frac{131072}{3}

Decimal Notation

43690.66666 \dots

Solution steps

(15 20) \cdot 2^{15}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{20 \cdot 2 ^{15}}{15}

Cancel the common factor:

5

= \frac{2 ^{15} \cdot 4}{3}

2^{15} \cdot 4 = 131072

= \frac{131072}{3}

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What is expand \binom{20}{15}2^{15} ?
The solution to expand \binom{20}{15}2^{15} is 131072/3