ðŸ†‡ A toddler is stacking wooden blocks. He has 4 blocks that are all different colors (red, blue, green, and yellow). How many different towers of blocks can he make?

4

12

20

24

A committee of 3 people is to be selected from a group of 10 people. The order in which people are selected doesnâ€™t matter. How many different committees can be formed?

90

120

540

720

An ice cream shop has 20 flavors. If Louis wants a double scoop cone, how many different flavor combinations can he get? Assume that he wants different flavors for each of the scoops. (Hint: the order matters here since the cone will be different if the flavors are in a different order)

190

240

380

400

Guest Aug 16, 2019

#1**+1 **

A toddler is stacking wooden blocks. He has 4 blocks that are all different colors (red, blue, green, and yellow). How many different towers of blocks can he make?

4 ways to choose the 1st block * 3 ways to choose the 2nd * 2 ways to choose the 3rd * 1 way to choose the last = 4 * 3 * 2 * 1 = 24

A committee of 3 people is to be selected from a group of 10 people. The order in which people are selected doesnâ€™t matter. How many different committees can be formed?

We have 10 people and we wish to choose any 3 of them....so...10C3 = 120 different committees

An ice cream shop has 20 flavors. If Louis wants a double scoop cone, how many different flavor combinations can he get?

We can choose 2 flavors from 20 and order these in 2 ways...so

20C2 * 2 = 190 * 2 = 380 combos

CPhill Aug 16, 2019