Permutations and Combinations Problem Solving
- 1. Determine the number of different loot bags that can be made from 8 chocolate bars, 4 lollipops, and 6 sticks of gum, if a loot bag must contain some candy.
- 2. If there are 6 athletes on the swim team, how many ways can the coach select 4 for the relay race? (Hint: they swim one at a time).
- 3. There are 8 seats in a minivan. How many different seating arrangements of 8 people are possible if only 4 are able to drive?
- 4. Canadian radio stations use the call letters from CFAA to CFZZ and from CHAA to CKZZ. How many different stations can be identified?
- 5. 15 girls try out for a hockey team. 3 play goal, 5 play defense and the rest play either forward or center. How many different starting lineups can the coach make if she needs 1 goalie, 2 defense, 1 center and 2 forwards?
- 6. Find the number of arrangements of the letters in the word NEWMARKET if the 2 Es must always be together?
- 7. Find the number of arrangements of the letters in TORONTO if the 2 Ts cannot be together
- 8. You have to answer 6 of the 10 thinking questions on the exam. How many different selections can you make?
- 9. In a game of Euchre only 24 cards are used - the 9s, 10s, Jacks, Queens, Kings and Aces. In how many ways can a 5 card hand be dealt with exactly 2 red cards?
- 10. In a game of Euchre only 24 cards are used - the 9s, 10s, Jacks, Queens, Kings and Aces. In how many ways can a 5 card hand be dealt with exactly 2 red cards?
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