10 different vectors are lying on a plane out of which four are parallel with respect to each other. Probability that three vectors chosen from them will satisfy the equation `lambda_1a+lambda_2b+lambda_3c=0,` where `lambda_1, lambda_2 and lambda_3ne=0` is

Options

A. (a)`(.^6C_2times.^4C_1)/(.^(10)C_3)`
B. (b)`((.^6C_3times.^4C_1)+,^6C_3)/(.^(10)C_3)`
C. (c)`((.^6C_3+times.^4C_1)+,^4C_3)/(.^(10)C_3)`
D. (d)`((.^6C_3 +.^4C_1)+,^6C_2times.^4C_1)/(.^(10)C_3)`

Answer

D