11.31.M - Lesson: Permutations & Combinations

Jo has 5 sweaters. He needs to take 3 sweaters on a vacation. In how many different ways can he choose 3 sweaters out of 5?

10

In a computer game, when choosing a character there are 5 choices for hair style, 3 choices for eye color, and 7 choices for outfits. How many different characters are possible if you were to choose 1 hair style, 1 eye color, and 1 outfit?

105

Five children have to form a queue. In how many different ways can they be arranged?

120

A jeweler has 15 diamond pendants and will display 4 of them from left to right in a glass case. In how many ways can he select and display the 4 pendants?

32,760

A phone banking password consists of 2 letters followed by 4 digits. The letters B, I, S, and O are not used, and the last digit cannot be 0. How many different passwords are possible?

4,356,000

A dog has a litter of 8 puppies. In how many ways can a group of 5 puppies be chosen?

56

There are 20 cars contesting a race.The first three cars completing the race will be awarded prizes. In how many ways can the prizes be awarded?

6840

In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal choices are there if you were to have 1 appetizer, 1 entree, and 1 dessert?

72

A personal identification number consists of 3 letters followed by 4 digits. The 5 vowels cannot be used, and the last digit cannot be 0 or 9. How many different numbers are possible?

74,088,000