Answer to Question #140333 in Discrete Mathematics for Promise Omiponle

Discrete Mathematics

Question #140333

Find the coefficient of x^5 in (1+x)^11.

Expert's answer

"\\text{According to the binomial theorem}"

"(1+x)^n= \\displaystyle\\sum_{k=0}^{n} \\binom{n}{k}x^k"

"\\text{coefficient of }x^5 \\ \\binom{11}{5}=\\frac{11!}{5!6!}=462"

Answer: 462

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