Thenumber of distinct terms in the expansion of `(x_1+x_2+……..+x_p)^n is (A) `^(n+p)C_n` (B) `n+p+1` (C) `n+1` (D) `^(n+p-1)C_(p-1)`

The number of terms in the expansion of (x+1/x+1)^n is (A) 2n (B) 2n+1 (C) 2n-1 (D) none of these

If ""^(n)C_(0), ""^(n)C_(1),..., ""^(n)C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) and p + q = 1 , then sum_(r=0)^(n) ""r.^(n)C_(r) p^(r) q^(n-r) =

If ""(n)C_(0), ""(n)C_(1), ""(n)C_(2), ...., ""(n)C_(n), denote the binomial coefficients in the expansion of (1 + x)^(n) and p + q =1 sum_(r=0)^(n) r^(2 " "^n)C_(r) p^(r) q^(n-r) = .

If the coefficient of pth,(p+1)thand(p+2)th terms in the expansion of (1+x)^(n) are in A.P

If the coefficient of pth,(p+1)thand(p+2)th terms in the expansion of (1+x)^(n) are in A.P

f62+(p-1)+4^n= (A) p (B) -p (C) 2p (D) -2p

If the coefficient of p^(th) term in the expansion of (1+x)^(n) is p and the coefficient of (p+1)^(th) term is q then n=

If the coefficient of (p+1) th term in the expansion of (1+x)^(^^)(2n) be equal to that of the (p+3) th term,show that p=n-1

If the coefficients of (p+1) th and (P+3) th terms in the expansion of (1+x)^(2n) are equal then prove that n=p+1