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Norman wants to buy a can of soda costing 75 cents from a vending machine. He has an unlimited supply of identical nickels and dimes. In how many orders can he insert coins into a machine to pay for his soda.

My brain hurts 

thanks :]

 Dec 21, 2022
 #1
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There are 54 possible orders.

 Dec 21, 2022
 #2
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1 - 15 x 5c==75c
2 - 13 x 5c + 10c==75c
3 - 11 x 5c + 2 x 10c==75c
4 - 9 x 5c  +  3 x 10c==75c
5 - 7 x 5c  +  4 x 10c==75c
6 - 5 x 5c  +  5 x 10c==75c
7 - 3  x 5c  +  6 x 10c==75c
8 - 1 x 5c   +  7 x 10c==75c


Number of ways ==8

 Dec 21, 2022

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