Combination or Permutation

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

• 5

• 10

• 15

You are ordering a triple-scoop ice-cream cone. There are 18 flavours to choose from and you don’t care which flavor is on the top, middle, or bottom. How many different ways can you select a triple-scoop ice-cream cone?

• 54

• 816

• 4896

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84

• 504

• 9!

• 3!

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

• 1

• 30

• 5!

• 6!

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

• 6!

• 120

• 20

• 3!

How would you solve?
A book club offers a choice of 8 books from a list of 40.  In how many ways can a member make a collection?

• Permutation

• Combination

• Factorial

• MPC

A committee that consist of 6 teachers is to be chosen from 4 male teachers and 5 female teachers. Find the number of different committee that can be formed if 3 male teachers and 3 female teachers are required in the committee.

• 120

• 60

• 84

• 40

From a group of 4 boys and 3 girls, in how many ways can we form a group 3 with at least 2 girls?

• 35

• 13

• 12

• 19

A student has to answer 8 questions in a 10-question test. If she has to answer at least 3 questions of the first 4, in how many ways can she select the questions?

• 44

• 45

• 39

• 24

₇P₂

• 0

• 7

• 42

• 210