Agroup of ten women and ten men are in a room. a committee of four is chosen at random. find the probability that the committee consists only of women?

First, we determine the sample space of choosing four members of the committee from 20 persons (both men and women). That is,
                                 20C4 = 4845
Then, we determine the combination of choosing these 4 members only from the group of women. That is,
                              10C4 = 210
The probability is calculated by dividing the second answer by the first answer which will give us an answer of 14/323. 

Ithink it is 52