What is the solution and define permutations and combinations?
1. At the 1992 Olympic Games, eight women qualified for the women’s 400-meter finals in track and field. Only three women

can win medals. How many ways could the top three medal winners occur?

2. The ski club with ten members is to choose three officers captain, co-captain & secretary, how many ways can those

offices be filled?

3. There are 12 standbys who hope to get on your flight to Hawaii, but only 6 seats are available on the plane. How many

different ways can the 6 people be selected?

4. For a segment of a radio show, a disc jockey (Dr. Jams) can play 4 songs. If there are 8 to select from, in how many ways

can the program for this segment be arranged?

5. Eight members of a school marching band are auditioning for 3 drum majors positions. In how many ways can students

be chosen to be drum majors?

6. From a club of 20 people, in how many ways can a group of three members be selected?

7. From the 20 CD’s you bought this past year, you plan to take 3 with you on vacation. How many different sets of three

CD’s can you take?

8. In how many different ways can 7 floats line up for the homecoming parade?

9. How many different ways can a director select 4 actors from a group of 20 actors to attend a workshop on performing in

rock musicals?

10.Suppose you are asked to list, in order of preference, the three best movies you have seen this year. If you saw 20

movies, in how many ways can the 3 best be chosen and ranked?

11. The company Sea Esta has ten members on its board of directors. In how many different ways can it elect a president,

vice-president, secretary and treasurer?

12. Seven bands have volunteered to perform at a benefit concert, but there is only enough time for four of the bands to

play. How many lineups are possible?

13. Suppose you are asked to list, in order or preference, the three best movies you have seen this year. If you saw 10

movies during the year, in how many ways can the three best be chosen and ranked?

14. In the Long Beach Air Race six planes are entered and there are no ties, in how many ways can the first three finishers

come in?

15. You are on your way to Hawaii (Aloha) and of 15 possible books your parents say you can only take 10. How many

different collections of 10 books can you take?

16. In a production of Grease, eight actors are considered for the male roles of Danny, Kenickie, and Marty. In how many

ways can the director cast the male roles?

17. For a segment of a radio show, a disc jockey can play 7 songs. If there are 12 songs to select from, in how many ways

can the program for this segment be arranged?

18. A relay race has 4 runners who run different parts of the race. There are 16 students on your track team. In how many

different ways can your coach select students to compete in the race?

19.You must take 6 elective classes to meet your graduation requirements for college. There are 12 classes that you are

interested in. In how many ways can you select your elective classes?

20.An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can

this be done?