I'm stuck on this question because I don't know what they mean by "how many different sums"
You have a penny, nickel, dime, quarter, loonie, and toonie in your pocket. If you pull out 3 coins, how many different sums are possible?
I have no idea what a loonie and a toonie are - but thats irrelevant. However the above poster is correct - as you are looking for UNIQUE sum. Now not knowing what a loonie or toonie is - I can't say whether or not there is a way of DUPLICATING the sum, without duplicating the UNIQUE combinations. I doubt it though.