Originally Posted by

**harpazo** After 45 minutes of paper work, I came to the realization that

since at most 3 of the pockets are to contain the same

number of coins, then it makes sense to minimize the number of coins in each and by so doing, allowing each to contain just 1 coin.

Next, I am told that no two of the remaining 4 pockets should contain an equal number of coins. So, they should contain 2, 3, 4, and 5 coins each (also a minimum possibility).

My Answer for the total: 1+1+1+2+3+4+5=17.

Correct?