One day, a class of $180$ students consumed $342$ chocolates from among the varieties $A, B, C, D, E$ and $F$. No student ate two chocolates of the same variety. The number of students who ate the varieties $D, E$ and $F$ was $73, 93$ and $45$ respectively.
The number of students who did not have any chocolates was equal to the total number of students who either had exactly one of the varieties or all the six varieties. The following bar graph indicates the number of students who consumed exactly $2,3,4$ or $5$ varieties of chocolates.