Answer:
We want to minimize the number of coins. Since there must be AT LEAST 1 coin per pocket, let's put 1 coin in the first 3 pockets.
Pocket #1: 1 coin
Pocket #2: 1 coin
Pocket #3: 1 coin
No two of the remaining pockets are to contain an equal number of coins.
So, from this point on, we cannot put 1 coin in any more pockets (otherwise, we'll break the rule about no more than 3 pockets containing the same number of coins).
To minimize the number of coins, we'll put 2 coins in pocket #4, then 3 in pocket #5 and so on...
Pocket #4: 2 coins
Pocket #5: 3 coins
Pocket #6: 4 coins
Pocket #7: 5 coins
So, the minimum number of coins = 1+1+1+2+3+4+5 =17
the answer is 17
Explanation:
hope this helps you