Combinations and Permutations Probability

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

• Counting Principles

How would you solve?

How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

• Permutation

• Combination

• Factorial

• Counting Principles

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

• 362,880

• 6

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90

• 100

• 12

• 24

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?

• 11

• 30

• 120

• 720

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

• 720

• 120

• 6

• 20

4 letters are chosen at random from the word RANDOMLY. In how many ways can this selection be made?

• 24

• 1680

• 70

• 40320

• 438

The ski club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled?

• 720

• 120

• 10!

• 6

Jim draws 4 cards from a deck of cards. What is the probability of all 4 cards being the same suit?

• 715

• 6,497,400

• 68,640

• 2,860

Rhea has 10 basketballs, each of a different colour. She only has time to shoot 5 hoops before going to bed. How many different arrangements can the balls be thrown into the hoops?

• 252

• 120

• 30,240

• 3,628,800