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🆇 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 doesn’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

 Aug 16, 2019
 #1
avatar+103122 
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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 doesn’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

 

 

cool cool cool

 Aug 16, 2019

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