Question

In a class of 50 student, 25 offer mathematics, 22 offer physcis, 30 offer chemistry and all the student take at least one of these subjects , 10 offer physics and mathematics, 8 offer chemistry and mathematics , 16 offer physics and chemistry. (a) draw a venn diagram to illustrate the information. (b) find the number of students who offer all three subjects

Answer 1

I'm sure you can do the diagram. Then it should be clear that if x take all three subjects,

(25+22+30)-(10+8+16)+x = 50

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