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The Math club at Florida State University has 30 members (14 females and 16 males). A...

The Math club at Florida State University has 30 members (14 females and 16 males). A committee of three members- a President, a Vice President and a Treasurer must be chosen.

a,) How many different three-member committees can be chosen?

b.) How many different three-member committees can be chosen in which the committee members are all females?

c,) How many different three-member committees can be chosen in which the committee members are all the same gender?

d.) How many different three-member committees can be chosen in which the committee members are not all the same gender?

Math   Statistics-And-Probability   
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