in a commtie of 2 are selected from 2men and 2 women.find probability the:

a)no men.
b)one men.
c)two men.                                                                                                              (6)
the example said the answers as.
a)4C2=1/6
b)(2C1*2C1)/4C2=2/3
C)4C2=1/6
but i found the answer by using sample space.
if'm' and 'M' are 1st and 2nd man and'w' and'W' are 1st and 2nd women.the sample space will be like this:

{(M,m),(m,M),(M,W),(M,w),(m,W),(m,w),(W,M),(W,m),(w,M),(w,m),(W,w),(w,W)}

i got the right answer.but,will i get the full mark if i do in sample space step insted of combunation methode?