Question 6) [4 Points] Find the answer to each of the following counting problem

Question

Question 6) [4 Points] Find the answer to each of the following counting problems: .The U.S. S enate Appropriations Committee has 29 members and a subcommittee is to be formed by randomly selecting 5 of its members. How many different committees co formed? uld be Companies who stocks are listed on the NASDAQ stock exchange have their company name represented by either four or five letters (repetition of letters is allowed). What is the maximum number of companies that can be listed on the NASDAQ? A Man has six shirts, four ties, and three pairs of pants. Assuming they all match, how many different shirt-tie-pants combinations does he have?

Explanation / Answer

(1) We have been given committee of 29 members, now we have to find out total number of different committees of 5 members, that is,

= C(29,5)

=118,755

(2) We have been given that company name represented by either four or five letters, now we have to find out total number of companies that can be listed on the NASDAQ,

=P(4,4)+P(5,5)

=4! + 5!

=24 + 120

=144

(3) We have been given,

6 Shirts

4 Ties

3 Pairs of pants

We have to find out total number of different shirt-tie-pants combination,

=[C(6,1) C(4,1) C(3,1)]

=6*4*3

=72

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