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Name___________________________________ DQR200 Assignment 3c Course: __________

Solve the following problems. Write the answers in the answer space provided. Please show work.

1) 8C3 1)

2) 6P4 2)

3) How many ways can an IRS auditor select 5 of 10 tax returns for an audit? 3)

4) A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 8 questions on the survey?

4)

5) How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from?

5)

6) In a certain lottery, five different numbers between 1 and 20 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?

6)

7) A tourist in France wants to visit 12 different cities. How many different routes are possible?

7)

8) A company wants to hire a software engineer, an administrative assistant, and a sales representative. There are 5 possible candidates for the position of software engineer, 2 for the position of administrative assistant, and 4 for the position of sales representative. How many ways are there to choose the three people who will be hired?

8)

9) License plates are made using 3 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed?

9)

10) There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many different subcommittees are possible?

10)

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