# If you can order one ice cream flavor and one topping, how many possiable combinations are there?There are three ice cream flavors and three toppings.

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Expert Answers

jeew-m | Certified Educator

There are 3 flavors to select and 3 toppings to select.

Number of ways to select a flavor = `^3C_1`

Number of ways to select a topping = `^3C_1`

No.of ways to order ice cream with a flavor and topping `= ^3C_1*^3C_1`

`= 3*3`

`= 9`

*There are 9 ways to order a ice cream with a flavor and a topping.*