The coefficient of `t^(24)` in `(1+t^2)^(12)(1+t^(12))(1+t^(24))` is `^12 C_6+3` b. `^12 C_6+1` c. `^12 C_6` d. `^12 C_6+2`

The coefficient of t^(4) in ((1-t^(6))/(1-t))^(3) (a) 18 (b) 12( c) 9(d)15

If ""^(12)C_(0)""^(12)C_(1).....""^(12)C_(12) are the binomial coefficients of the expansion (1+x)^(12),"them" ""^(12)C_(0)-""^(12)C_(1)+""^(12C_(2-""^(12)C_(3)+......""^(12)C_(12= ____________

(19)^(12)xx(19)^(8)-:(19)^(4)=(19)^(?)6b.8c.12d24

The vertices of a triangle are A(1,-1,2),B(6,11,2),C(1,2,6) then cos A

The mean and variance of a binomial distribution are 4 and 3 respectively, then the probability of getting exactly six successes in this distribution, is a. ^(16)C_6(1/4)^(10)(3/4)^6 b. ^(16)C_6(1/4)^6(3/4)^(10) c. ^(12)C_6(1/(20))^( )(3/4)^6 d. ^(12)C_6(1/4)^6(3/4)^6

If ""^(12)C_(5) + ^(12)C_(6) = ^(x)C_(6) then x = _________