Problem 9

Problem – 9

What is the coefficient of x^{10} in (3+x)^{15}?

 

Solution:

Binomial theorem for (x+y)n = nC0xny0 + nC1xn-1y1+ nC2xn-2y2 + nC3xn-3y3 +…………+ nCn-1x1yn-1+ nCnx0yn

Using the Binomial theorem, coefficient of x10 = 15C10(3)5=3003×243 =729729

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