## There are 150 students in a college of whom 66 play soccer, 27 play exactly two of three sports and 3 play all of three sports. How many of 150 play none of 3 sports?

You might want to retry asking the question. It is unclear, and seems incomplete.

However, when you're dealing with 3 sets, the following formulae might come in handy.

*n* (AUBUC) =n(A) +n(B) +n(C) -n(AB) -n(AC) -n(BC) + n(ABC)

n(U) =*n*(AUBUC) +*n*(AUBUC)^{c}

where, A, B and C are three non-empty sets,

U denotes the Universal Set

and c (in superscript) indicates complement of a set (**Complement of a set**: is the difference of a set from the Universal set)