Here's how my brain handled this one,
Based off the question we know three out of the seven pockets can contain the same number of coins, which we will want to hold to the minimal amount because we are looking for the least
amount value. The remaining have to have individual values, which will just be increments of 1 because we are talking about coins so we have to speak in integers (and not fractions/decimals).
Step 1 --> Set up the equation, A + A + A + B + C + D + E + F + G = Total
Step 2 --> Plug in our numbers, 1 + 1 + 1 + 2 + 3 + 4 + 5 = Total --> 17 = Total
Answer choice is (C).