Question

There are only three clubs. 60 students are only in drama club, 80 students only in dance, 30 student only in maths, 44 both in drama and dance, 12 dance and math 7 both in drama and math, 2 students are in all club and 75% are not in any club so find out the total students

Answer 1

Answer:

Step-by-step explanation:

Only A = 60

Only B = 80

Only C = 30

AB=40, BC=12, AC=7, ABC=2

So A U B U C = 60+80+30+40+12+7-2xABC = 229 + 2x2=225

(Note Only 1 ABC is part of union, but AB, BC, AC contributes 3 overlapping ABC. So substract 2ABC

25% is 225 students. So 100% is 225 x 100/25=900

Ans: Total no of students = 900