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Mable has a penny, a nickel, a dime, and a quarter, and a half-dollar (1, 5, 10, and 25 and 50 cents, respectively).How many different amounts can Mable make using at least one of the coins she has?

 Jun 8, 2022
 #1
avatar+124676 
+1

C(5,1)   =   5 different amts

C(5,2)  =  10 different amts

C(5,3)  = 10 different amts

C(5,4) = 5 different amts

C(5,5)  =  1 amt

 

So

31  different amts

 

 

cool cool cool

 Jun 8, 2022
 #2
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subsets of {1, 5, 10, 25, 50}

 

2^5  -  1 ==31 amounts.

 Jun 9, 2022

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