In the binomial expansion `(a+b)^n`, the coefficients of fourth and thirteenth terms are equal to each other. Find n.

In the binomial expansion of (1+x)^34 , the coefficients of the (2r-1)th and the (r-5)th terms are equal. Find r.

In the binomial expansion of (a -b)^n, nge5 , the sum of the 5th and 6th terms is zero. Then a/b equals :

In a binomial expansion (1 + x)^n is a positive integer, the coefficients of 5th, 6th and 7th terms are in A.P., then the value of n is :

In the binomial expansion of (a - b)^n , n ge 5 the sum of the 5th and 6th term is zero , then find a/b

In the expansion of (1+a)^(m+n) , prove that coefficients of a^m and a^n are equal.

In the expansion of (1 + a)^(m+n) , prove that coefficients of a^m and a^n are equal.

Statement-I : In the expansion of (1+ x)^n ifcoefficient of 31^(st) and 32^(nd) terms are equal then n = 61 Statement -II : Middle term in the expansion of (1+x)^n has greatest coefficient.

In the expansion of (1+x)^n , the coefficient of x^(p-1) and of x^(q-1) are equal. Show that p+q=n+2, p ne q .

Consider the binomial expansion of (sqrt(x)+(1/(2x^(1/4))))^n n in NN , where the terms of the expansion are written in decreasing powers of x. If the coefficients of the first three terms form an arithmetic progression then the statement(s) which hold good is(are)