In a pool 210 different subgroups of six that could be produced from a pool of...
In a pool 210 different subgroups of six that could be produced from a pool of ten applicants. Suppose the applicant pool is made up of three women and seven men. How many of the 210 subgroups of six would contain exactly two women and four men?
Homework Answers
Number of ways of selecting 2 women out of three is
C(3,2) = 3
Number of ways of selecting 4 men out of seven is
C(7,4) = 35
So number of subgroups with two women and four men is
35 * 3 = 105
Answer: 105
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