SOLUTION: How many non-zero sums of money are possible if you have 1 penny, 1 dime, 3 quarters and 1 loonie.

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Question 1159448: How many non-zero sums of money are possible if you have 1 penny, 1 dime, 3 quarters and 1 loonie.
Answer by ikleyn(52776) About Me  (Show Source):
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For the penny, you have 2 opportunities: it either is included to the sum, or not.


For the dime, you have the same 2 opportunities: it either is included to the sum, or not.


For the quarters, you have 4 opportunities: Either 0, or 1, or 2, or 3 quarters are included.


For loonie (Canadian one-dollar coin), you have 2 opportunity, again.


Now, multiply the numbers of these opportunities. You will get

    2*2*4*2 = 32.


From this total number 32, we should subtract the zero sum case.


So, the final answer is  32-1 = 31 different non-zero sums.