the `A.M.` of `nC_0 ,nC_1 ,nC_2,..........,nC_n` is

Median of 2nC_(0),2nC_(1),2nC_(2),....,2nC_(n) (when n is even) is

The sum to (n + 1) terms of the series 3.nC_0 - 8.nC_1 +13.nC_2 -18.nC_2 +........ is

If nC_6=nC_2 , find ^nC_2 .

The mean of the values 0,1, ......n with corresponding weights .^nC_0,^nC_1,........^nC_n respectively is

The value of ""^0C_0-^nC_1+^nC_2-....+ -1^(n^n)C_n is

Suppose a variable assumes the values 0, 1, 2………….n with frequencies proportional to binomial coefficeints ^nC_0, ^nC_1, ^nC_2,………..^nC_n respectively. Find the mean of variable.

Let a=(4^(1/401)-1) and let b_n = nC_1 + nC_2 . a+ nC_3. a^2+......+ nC_n .a^(n-1). Find the value of (b_2006 – b_2005)

If ^nC_8=^nC_2 find ^nC_2

if ^nC_9 = ^nC_8 find ^nC_2