Question

Suppose that a town has 100 ill people: 25 children, 41 men, and 34 women.

(a) In how many ways can 14 children and 16 women be selected from this group for transport to the nearest hospital?

(b) Suppose that 14 children and 16 women have been selected and transported to the hospital, where beds
number 23 to 69 are available for new patients. In how many ways can they be assigned to beds?

(c) In how many ways can we select 35 ill men such that 20 of them go for treatment at the local clinic and
the other 15 go for treatment at a military hospital?

(d) In how many ways can we select a group of 20 ill people that contains exactly one man and at least two
children?

Answer 1