135 high-school freshmen were interviewed:
35 of them took physical education (P.E.);
42 took BIO (biology);
60 took ENG (English);
10 took P.E. and BIO;
15 took P.E. and ENG;
7 took BIO and ENG; and
5 took all three subjects.
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How many students took ENG but neither BIO nor P.E.?

Respuesta :

The number of students that took ENG but neither BIO nor P.E is 43.

What is set?

A set is a collection of well-defined objects called elements of the given set.

Analysis:

see diagram below

In conclusion, the number of students that took ENG but neither BIO nor P.E is 43

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