In the binomial expansion of `(1+a)^(m+n)` , prove that the coefficient of `a^m a n d\ a^n` are equal.

In the binomial expansion of (1+a)^(m+n) prove that the coefficient 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.

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

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

If the coefficients of the three successive terms in the binomial expansion of (1+x)^(n) are in the ratio 1:4.42 then the first of these terms in the expansion is

If in the expansion of (1 +x)^(m) (1 - x)^(n) , the coefficients of x and x^(2) are 3 and - 6 respectively, the value of m and n are

If m and n are positive integers, then prove that the coefficients of x^(m) " and " x^(n) are equal in the expansion of (1+x)^(m+n)

If the constant term in the binomial expansion of (x^(2)-(1)/(x))^(n),n in N is 15, then the value of n is equal to.