Worksheet featuring math problems on permutations and combinations, including scenarios like forming teams, selecting committees, and arranging letters.

- The number of 5-character passwords that can be made from a set of 10 different characters: 30,240
- The number of ways a captain and vice-captain can be chosen from a squad of 12 sportsmen: 132
- The number of hands of 7 randomly-chosen cards that can be dealt to one player in a card game: 133,784,560
- The number of ways a committee of 3 senior and 5 junior students can be selected from a group of 10 senior and 8 junior students: 1,411,200
- The number of teams of 3 people that can be selected from a group of 12 people: 220
- The number of ways 5 out of 7 paintings can be arranged in a line on a wall: 2,520
- The number of ways 2 boys and 1 girl can be chosen from a group of 5 boys and 6 girls: 60
- The number of ways 3 of the 8 runners in a race can finish 1st, 2nd and 3rd: 336
- 5 comedians are chosen from a list of 12 to star in a show. The names of the comedians are written on a list. How many different possible lists are there?: 792
- A selection of 3 letters from the word PEARL is made. How many different selections are possible?: 10