# Quant Boosters - Hemant Malhotra - Set 2

• Total number of matches = 7C2 * 2 = 42
If there were no matches that resulted in a draw then total points = 42 * 3 = 126
For every match resulting in a draw the total points get reduced by 1.
Because in a Win-Loss situation Winner + Loser = 3 + 0 = 3 points but in a draw it is 1 + 1 = 2 points.
Let the total points of A,C,E be y and that of B and G be x
3y + 2x + 36 = Total points [ also y < x ]
Total points can be 126 or 125 or 124 and so on
But our objective is to maximize y we have to take value of total as high as possible.
3y + 2x = 126 then max = 16
but if we take 3y + 2x = 125 then max(y) = 17 so OA=17

• @hemant_malhotra Kindly explain the solution, I couldn't really comprehend it.

• @Aayushiv This is a way of solving sets without venn diagrams.
Please go through the below notes which explains the method in great detail. Once you are done, re-visit the problem and if the doubt persist, let us know. Will help you (I guarantee, it will be clear once you are done with the 2 notes given below!) :)

• @hemant_malhotra shouldn't A point at the top so the distance become 2+3+2 = 7
as in room A at top face not at bottom face

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