1. Permutation or Combination?

2. #1
A high school offers 5 foreign language programs. In how many ways can a student choose 2 programs?

3. #2
In how many ways can 20 members be chosen from a 60-member chorus to sing the national anthem at a graduation ceremony.

4. #3
In how many ways can a captain, co-captain, and team manager be chosen from among the 18 members of a volleyball team?

5. #4
Ten colleges are participating in a college fair. Booths will be positioned along one wall of a high school gymnasium. In how many different orders can the booths be arranged?

6. #5
First- through fourth-place prizes are to be awarded in an hot dog eating contest. In how many ways can the winners be selected from among 125 entries?

7. #6
How many tennis teams of 6 players can be formed from 14 players without regard to position played?

8. #7
How many ways can 5 members of a family be seated side-by-side in a movie theater if the father is seated on the aisle?

9. #8
From a standard deck of 52 cards, how many different ways can 5 cards be drawn?

10. #9
How many arrangements can be made for a seating chart of a class with 28 students if there are going to be 4 people in a group?

11. #10
The Algebra 2 class is preparing for its final exam. From a class of 26 students, how many study groups of 4 students can be formed?

12. #11
Six U of I cheerleaders printed large letters that spell out ILLINI. Each card had one letter on it and each cheerleader is supposed to hold up one card. At half-time, they realize that someone has mixed up the cards. How many different ways are there to arrange the cards?