16. Thirteen people work in an office. 8 are women and 5 are men. The flu virus is coming. (a) In how many ways can the flu virus randomly select 5

16. Thirteen people work in an office. 8 are women and 5 are men. The flu virus is coming.

(a) In how many ways can the flu virus randomly select 5 workers out of the 13 to get sick?

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(b) In how many ways can the flu choose 5 workers, if 2 must be women and 3 must be men?

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(c) If the flu virus randomly selects 5 workers from the 13 in the office, what is the probability that 3 are men and 2 are women? Round answer to nearest ten-thousandth (4 places after decimal). Show work.