# SOLUTION: the tollboth is 50 cents for eash car how many diffrent ways can you use quarters, dimes, and nickels

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 Click here to see ALL problems on Probability-and-statistics Question 485186: the tollboth is 50 cents for eash car how many diffrent ways can you use quarters, dimes, and nickels Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!```We just need to think about the quarters and dimes for the rest can always be made up with nickels. There are three cases, using 0,1, and 2 quarters: 1. If you don't use any quarters, then you can use 0 dimes up through 5 dimes, (and the rest, if any, in nickels). That's 6 ways. 2. If you use 1 quarter, you can use 0 dimes up through 2 dimes, (and the rest in nickels). That's 3 more ways. 3. If you use 2 quarters, that's the whole 50 cents, so that's 1 more way. So that's 6+3+1 or 10 ways. 1. 0 quarters, 0 dimes, 10 nickels. 2. 0 quarters, 1 dime, 8 nickels. 3. 0 quarters, 2 dimes, 6 nickels. 4. 0 quarters, 3 dimes, 4 nickels. 5. 0 quarters, 4 dimes, 2 nickels. 6. 0 quarters, 5 dimes, 0 nickels. 7. 1 quarter, 0 dimes, 5 nickels. 8. 1 quarter, 1 dime, 3 nickels. 9. 1 quarter, 2 dimes, 1 nickel. 10. 2 quarters, 0 dimes, 0 nickels. Edwin```