Consider the expansion of `(1 + x)^(2n+1)` The sum of the coefficients of all the terms in the expansion isA. `2^(2n-1)`B. `4^(n-1)`C. `2 xx 4^(n)`D. None of these

Consider the expansion of `(1 + x)^(2n+1)` The sum of the coefficients

1.	Consider the expansion of `(1 + x)^(2n+1)` The sum of the coefficients of all the terms in the expansion isA. `2^(2n-1)`B. `4^(n-1)`C. `2 xx 4^(n)`D. None of these
Answer» Correct Answer - C Sum of all coefficient `=.^((2n+1))C_(0)+.^((2n+1))C_(1)+...+.^((2n+1))C_(2n+1)` `=(1+1)^(2n+1)=2^(2n+1)=2.2^(2n)=2.4^(n)`

What is `C(n, r) + 2C(n, r - 1) + C(n, r - 2)` equal to?A. `C(n + 1, r)`B. `C(n -1, r + 1)`C. `C(n, r + 1)`D. `C(n + 2, r)`
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