Permutations and combinations
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
Milo's club of 10 elects a president, a vice president and a treasurer, and no member holds two jobs. How many ways can the 3 jobs be filled?
Noah plans a set list of 4 songs, in order, from the band's 8 songs. How many different set lists are possible?
Pia seats 4 of 11 students in the 4 front-row seats of the bus, one per seat. How many seatings are possible?
Ren's locker code uses 4 different digits from 1 to 7, and the order of the digits matters. How many codes are possible?
Zee's club of 12 picks a committee of 4 to plan the spring fair. How many different committees are possible?
Esme's class picks 3 of 10 students to plant the garden bed together. How many different groups of 3 are possible?
Jun's class of 8 picks 3 students for a cleanup crew, and all 3 do the same job. Which expression counts the possible crews?
- 8!
- C(8, 3)
- P(8, 3)
- 8³
Kira's class of 7 picks a line leader, a door holder and a messenger. Which expression counts the ways to fill the 3 jobs?
- P(7, 3)
- 7³
- 7!
- C(7, 3)
Luz makes a playlist of 5 of 12 songs, played in a set order. Which expression counts the possible playlists?
- 12!
- P(12, 5)
- 12⁵
- C(12, 5)
Milo picks 5 of 12 books to put in a reading box. Which expression counts the possible boxes?
- P(12, 5)
- 12!
- 12⁵
- C(12, 5)