X{x}^(3) {y}^(8) term(x + y) ^(11)find the coefficient of the given term in the binomial expansion

Question

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`{x}^(3) {y}^(8) term(x + y) ^(11)`find the coefficient of the given term in the binomial expansion

Answer 1

Using the binomial theorem, we have that the expansion of (x+y)^11 is:

notice that the coefficient of the term x^3 y^8 is 165