There are 68 children in the cafeteria of a school and all of the children have something for lunch. Thirty-four of the children brought lunches from home, 23 of the children bought a drink from the cafeteria beverage machine, and 32 of the children bought fruit in the cafeteria. If 18 children did at least 2 of these things, how many children did exactly two of these things?
(A) 3
(B) 6
(C) 9
(D) 13
(E) 15



OA is E...

i tried using 3 venn formula, total=a+b+c - (sum of 2 group overlaps) - 2(all three) + neither.
and got

68=34+23+32-18-x+0

what am i missing here? plz help