The sum of the following series upto'n' terms is given by `S=^nC_0+2.^nC_1+4^nC_2+7.^nC_3+11.^nC_4+...`

If "^nC_8= ^nC_2 , find "^nC_2 .

If "^nC_8 = "^nC_2 , find "^nC_2 .

If .^nC_8=^nC_2 , find .^nC_2

Find n if "^nC_2 = ^nC_3 .

If ^nC_8=^nC_2 find ^nC_2

The value of nC_0. ^nC_n +^nC_1 . ^nC_(n-1)++……..+^nC_n . ^nC_0

If nC_6=nC_2 , find ^nC_2 .

If .^nC_30=^nC_4 , find n

If .^nC_30=^nC_4 , find n

If n is a positive integer such that (1+x)^n=^nC_0+^nC_1+^nC_2x^2+…….+^nC_nx^n , for epsilonR . Also .^nC_r=C_r On the basis of the above information answer the following questions the value of .^mC_r.^nC_0+^mC_(r-1).^nC_1+^mC_(r-2).^nC_2+….+^mC_1.^nC_(r-1)+^nC_0^nC_r where m,n, r are positive interges and rltm,rltn= (A) .^(mn)C_r (B) .^(m+n)C_r (C) 0 (D) 1