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

The number of terms in the expansion of (x+y+z)^(n) is

State true or false: For expansion of (x + y)^(n) , T_(r) = ^(n)C_(r) x^(n-r) y^(r ) .

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

the middle in the expansion of (a+b)^(10) is T_(r-1) then r=

If in the expansion of (1-x)^(2n-1)a_(r) denotes the cofficient of x^(r) then prove that a_(r-1)+a_(2n-r)=0

Statement-1: The coefficient of a^(3)b^(4)c^(3) in the expansion of (a-b+c)^(10) is (10!)/(3!4!3!) Statement-2: The coefficient of x^(p)y^(p)z^(r) in the expansion of (x+y+z)^(n) is (n!)/(p!q!r!) for all integer n.

Sum of the coefficients of the terms of degree m in the expansion of (1 + x)^(n)(1 + y)^(n) (1 + z)^(n) is