Assuming that all members of the committee have equal status, then this question amounts to finding out how many combinations of 7 from 35 people (men and women) there are.
To start building the committee we take one of the people, so we have a choice of 35. For the next member of the committee we have 34 people to choose from, and so on. So we have 35×34×33×32×31×30×29 ways. But we picked them in order. The person we chose first could have been the last to be picked, we would still end up with the same combination of people. So we need to divide by the number of ways we can arrange 7 people=7×6×...×1=5040 or 7!. When we do this division we get 6,724,520 as the total number of ways of choosing 7 people from 35.
Note that these ombinations include a committee of all women and a committee of all men. The answer would be different if a certain number of men or women had to be in the committee.