SOLUTION: Coins are to be put into 7 pockets so that each pocket contains at least one coin. At most 3 of the pockets are to contain the same number of coins, and no two of the remaining poc

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Question 337146: Coins are to be put into 7 pockets so that each pocket contains at least one coin. At most 3 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?
(A)7
(B)13
(C)17
(D)22
(E)28

Thanks
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
1 + 1 + 1 + 2 + 3 + 4 + 5 = 17