Question 1
In the following exercises, does the problem involve permutations or combinations? Explain your answer. It is not necessary to solve the problem.
A record club offers a choice of 7 records from a list of 45. In how many ways can a member make a selection?
◦ Combinations, because the order of the records selected does not matter.
◦ Permutations, because the order of the records selected does matter.
Question 2
In the following exercises, does the problem involve permutations or combinations? Explain your answer. It is not necessary to solve the problem.
One hundred people purchase lottery tickets. Three winning tickets will be selected at random. If first prize is $100, second prize is $50, and third prize is $25, in how many different ways can the prizes be awarded?
◦ Combinations, because the order of the prizes awarded does not matter.
◦ Permutations, because the order of the prizes awarded matters.