If the ratio `^2n C_3:^n C_3` is equal to 11:1 find `ndot`

If .^(2n)C_(3):.^(n)C_(3)=12:1 , find n.

If .^(2n)C_(3):^(n)C_(3)=11:1 , find the value of n.

Let n in N and [x] denote the greatest integer less than or equal to x. If the sum of (n + 1) terms ""^(n) C_(0) , 3 .""^(n)C_(1) , 5. :""^(n) C_(2) , & .""^(n)C_(3) is equal to 2 ^(100) . 101 then 2 [(n-1)/(2)] is equal to _________

(i) If ""^(2n)C_(3) : ""^(n)C_(3)= 11 : 1 , find n. (ii) If ""^(2n)C_(3) : ""^(n)C_(2) = 12 : 1 , find n.

find n if .^nC_6: ^(n-3)C_3=33:4

The value of C_1/2+C_3/4+C_5/6+………. is equal to (A) (2^n=1)/(n-10 (B) 2^n/(n=1) (C) (2^n+1)/(n+1) (D) (2^n-1)/(n+1)

The value of ^n C_1+^(n+1)C_2+^(n+2)C_3++^(n+m-1)C_m is equal to (a)^m+n C_(n-1) (b)^m+n C_(n-1) (c)^mC_(1)+^(m+1)C_2+^(m+2)C_3++^(m+n-1) (d)^m+1C_(m-1)