Example H. a) Odysseus can name every player on his baseball team's roster. Is this an example of a combination or permutation? b) As the club's manager, Persephone decides which player will bat when in the lineup for each game. Is this an example of a combination or permutation? c) If the team roster has 25 members, how many ways can Persephone set up the starting lineup of nine batters?

Example I-a. One hundred names are put into a hat. Is this an example of a combination or permutation?

Example I-b. One hundred names are put into a hat. Names will be drawn for prizes. The top prize is $500, the next prize is $300, and the third prize is $100. Is this an example of a combination or permutation? How many ways can the prizes be awarded?

Example I-c. One hundred names are put into a hat. Names will be drawn for three prizes of $300 each. Is this an example of a combination or permutation? How many ways can the prizes be awarded?

Example J. For the Powerball lottery, "Every Wednesday and Saturday night, five white balls from 1 to 59 and one red Powerball from 1 to 39 will be drawn. You win a prize by matching some or all of the numbers drawn." (source: mdlottery.com). Are the choices for a Powerball ticket a combination or a permutation? How many ways can a player pick the numbers for a Powerball ticket?

Example K-a. A club is electing its four officers. Is this an example of a combination or permutation? If the club has fifty members, how many different ways can slates of officers be formed?

Example K-b. A club is forming a committee of four to examine and make suggestions to revise the bylaws. Is this an example of a combination or permutation? If the club has fifty members, how many different ways can the Bylaw Review Committee be formed?

Example K-c. A club is forming a committee to plan its annual Equinox Dance. One person will serve as Chair of the committee, and there will be three other members. Is this an example of a combination or permutation? If the club has fifty members, how many different ways can the Equinox Dance Committee be formed?

Example K-d. A club is forming a committee to plan its annual Holiday Dance. One person will serve as Chair of the committee, another will be Vice-Chair and there will be two other members. Is this an example of a combination or permutation? If the club has fifty members, how many different ways can the Holiday Dance Committee be formed?