Subject likes
Thirty students were surveyed on the subject they liked most.
14 like Science;
16 like Literature;
18 like math;
8 like BOTH Science and math;
7 like Literature and math; 6 like Science and Literature and 1 likes none of these
How many students like all three?
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1 solution
Solution: n (intersection of set M(math) , S(science) ,L(literature) = n(union of set M,S,L) -n(M)-n(s)-n(L) +n(intersection of set L and M) + n(intersection of set S and L) +( intersection of set S and M) =29-18-14-16+7+6+8 =2