From your question I would try (6C3+6C2)/12C5, but this won't give the answer you need.
Have you left any details out?
Here is the problem: A committee of 5 people is to be selected from 6 men an women. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?
The answer is 1260/3003. Help is appreciated. I know the formulas for combinations/permutations, but I don't know how to apply them here.
I'm confused are there 12 people total - 6 males and 6 females? Or are there 6 total people, and it's unknown how many are male or female?
If it's 12 total people then the answer should be
But that doesn't give the answer you stated.
If the case is that there are 6 people and their genders are unkown, then
The answer should be
Where x is the number of males in the group.
x can only be 3 or 4, and neither gives the answer you stated.
Are you should you're stating the question correctly?