Need help with the following question.
15 people work in an office. 8 are women and 7 are men. The flu virus is coming.
(a) In how many ways can the flu virus randomly select 7 workers out of the 15 to get sick? Show work.
(b) In how many ways can the flu choose 7 workers, if 3 must be women and 4 must be men? Show work.
(c) If the flu virus randomly selects 7 workers from the 15 in the office, what is the probability that 4 are men and 3 are women? Round answer to nearest ten-thousandth (4 places after decimal). Show work.