Permutation and Combination

How many unique cookie combinations can the baker make using 4 frostings, 3 sprinkles, and 6 cookie cutters, with each cookie having 1 frosting and 1 sprinkle?

• 72

• 15

• 96

• 24

Mark has 6 pants and 7 shirts in his closet. He wants to wear a different pant/shirt combination each day. How many weeks can he do this for?

• 8

• 6

• 5

• 7

At an ice cream store, there are 6 flavors of ice cream.  How many different 3-flavor ice cream bowl can be made?

• 10

• 20

• 5

• 30

10 students enter a contest at school.  How many different combinations of 1st, 2nd, and 3rd place winners can there be?

• 400

• 4620

• 6840

• 720

How many sandwich combinations are possible at the deli with 3 types of bread, 3 types of meat, and 2 types of cheese, selecting one of each?

• 18

• 10

• 14

• 12

How many fruit combinations are possible for a fruit salad made from a basket containing 5 types of fruit, where 2 types of fruit are chosen?

• 4

• 6

• 12

• 10

There are 5 pictures but only 4 display cases.  The display cases are unique. How many different arrangements of pictures in display cases can be created?

• 120

• 240

• 24

• 5

How many different pairs of players can the coach select from a basketball team of 10 players to carry the water jug before each game?

• 12

• 20

• 5

• 45

Draw an Easter egg and decorate it.

An ice cream parlor serves 36 ice cream flavors. You can order in a small, medium or large and can choose between a waffle cone and a cup. How many single flavor ice cream could you possibly order?

• 144

• 108

• 72

• 216