Question: 49. Using the binomial theorem, calculate the coefficient of xn in the expansion of (1 + x)2n = (1 + x)n(1 + x)n to prove

49. Using the binomial theorem, calculate the coefficient of xn in the expansion of (1 + x)2n = (1 + x)n(1 + x)n to prove that ; 2n n < = .n i=0 ; n i <2 . For a combinatorial proof of this relation, see Example 2.28.

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