Question

A jury consists of six men and seven women. Five are selected at random for an interview. a) Find the number of ways that all selected people are men. b) Find the number of ways that three men and two women are selected.

Answer #1

number of men = 6

number of women = 7

total number of persons = (6+7) = 13

a).*the
number of ways that all selected people are men is
:-*

[ from 6 men we can select 5 men in 6 C 5 ways (combination) ]

b). **the
number of ways that three men and two women are selected
is:-**

[ 6 men are selected from 3 men in 6C3 ways and from 7 women we select 2 women in 7C2 ways.]

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