In the binomial expansion of `(x+y)^n`, the coefficients of 4th and 13th terms are equal. Find n.

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.

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

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 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 :

The fourth term in the binomial expansion of (x^2-1/x^3)^n is independent of x, when n is equal to:

Find the value of r if the coefficients of (2r+4)th and (r - 2) th term in the expansion of (1+ x)^18 are equal.

Show that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+ x)^(2n-1) .

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)