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)`

Show that the coefficients of x^(m) and x^(n) are equal to the expansion of (1+x)^(m+n) .

If n is a positive integer and r is a nonnegative integer, prove that the coefficients of x^r and x^(n-r) in the expansion of (1+x)^(n) are equal.

The coefficient of x^(m) and x^n in the expansion of (1+x)^(m+n) are ...........

If 'n' is a positive integer then prove that the coefficient fo x^(m) in the expansion of (x^(2)+(1)/(x))^(2n) is :

If 'n' is a positive integer then prove that the coefficient fo x^(m) in the expansion of (x^(2)+(1)/(x))^(2n) is :

If a and b are respective coefficients of x^m and x^n in the expansion of (1+ x)^(m+n) then

If a and b are respective coefficients of x^m and x^n in the expansion of (1+ x)^(m+n) then