Solve the following problems. Write the answers in the answer space provided. Please show all work. Scan and upload into Canvas by the due date assigned.
1)8C31)
2)6P42)
3)How many ways can an IRS auditor select5of10tax returns for an audit?
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 are8questions on the survey?
5)How many ways can 6 people be chosen and arranged in a straight line if there are 8people to choose from?
6)In a certain lottery, five different numbers between 1 and20inclusive 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?
7)A tourist in France wants to visit12different cities. How many different routes are possible?
8)A company wants to hire a software engineer, an administrative assistant, and a sales representative. There are5possible candidates for the position of software engineer,2forthe position of administrative assistant, and4for the position of sales representative. How many ways are there to choose the three people who will be hired?
9)License plates are made using3letters followed by3digits. How many plates can be made if repetition of letters and digits is allowed?
10)There are8members on a board of directors. If they must form a subcommittee of6members, how many different subcommittees are possible?
