In the expansion of `(1 + x)^(n) (1 + y)^(n) (1 + z)^(n)` , the sum of the co-efficients of the terms of degree 'r' is

In the expansion of (1+x)^(2)(1+y)^(3)(1+z)^(4)(1+w)^(5) , the sum of the coefficient of the terms of degree 12 is :

In the expansion of (1+x)^(2)(1+y)^(3)(1+z)^(4)(1+w)^(5) , the sum of the coefficient of the terms of degree 12 is :

In the expansion of (1+x)^(n), the sum of the coefficients of the terms in even positions is 2^(n-1)

Consider the expansion of (1 + x)^(2n+1) The sum of the coefficients of all the terms in the expansion is

how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of (1+x)^(n)

The middle term in the expansion of (1 - (1)/(x))^(n) (1 - x)^(n) is

n th term in the expansion of (x+(1)/(x))^(2n)

In the expansion of (x+y)^(n),T_(r+1) = __________

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1+x)^(2n-1)