Binomial easy

Algebra Level 2

Find the coefficient of a 3 b 98 a^3b^{98} in ( a + b ) 101 (a+b)^{101}


The answer is 166650.

Denton Young by Denton Young , 47, USA

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1 solution

Denton Young
Mar 23, 2018

101 ! / ( 98 ! ) ( 3 ! ) 101!/(98!)(3!) = ( 101 ∗ 100 ∗ 99 ) / ( 3 ∗ 2 ∗ 1 (101 * 100 * 99)/(3 * 2 * 1 ) = 166650 166650

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