Combinatoric Problem!

Probability Level 2

What is the coefficient of the x 8 x^{8} y 2 y^{2} in the expansion of ( x + 2 y ) 10 (x+2y)^{10} ?

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The answer is 180.

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Jaime Andrés by Jaime Andrés , 21, Spain

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2 solutions

C 2 10 × 2 2 = 180 { C }_{ 2 }^{ 10 }\times{ 2 }^{ 2 } = \boxed{180}

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. .
Jun 4, 2021

Just use binomial theorem .

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