16.Fifteen people work in an office. 9 are women and 6 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.