In a college, there are three student clubs.

Sixty students are only in the Drama club,

80 students are only in the Dance club, 30

students are only in the Maths club, 40

students are in both Drama and Dance

clubs, 12 students are in both Dance and

Maths clubs, 7 students are in both Drama

and Maths clubs, and 2 students are in all

the clubs. If 75% of the students in the

college are not in any of these clubs, then

the total number of students in the college

is ___________.

A. 1000

B. 975

C. 900

D. 225

# Collage problem

**Atul**#1

**kaaviya**#3

Given:

P(Drama only) = a = 60

P(Dance only) = b = 80

P(Maths only) = c =30

P(Drama and Dance) = d+g = 40

P(Dance and Maths) = e+g = 12

P(Drama and Maths) = f+g = 7

P(All Clubs) = g = 2

Union or sum is a+b+c+d+e+g =225

Only 25% of students are in clubs.

0.25*(Total num of students) = 225.

So total number of students = 1000

Option A is the right answer