Skip to content
Related Articles
Open in App
Not now

Related Articles

GATE | GATE-IT-2004 | Question 2

Improve Article
Save Article
  • Difficulty Level : Medium
  • Last Updated : 28 Jun, 2021
Improve Article
Save Article
In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses.How many students have not taken any of the three courses?

(A) 15
(B) 20
(C) 25
(D) 35

Answer: (C)


P(AUBUC)=P(A)+P(B)+P(C)- P(A∩B)-P(A∩C)- P(B∩C)+P(A∩B∩C)
125+85+65-503530+15 =175

No of students not taking any courses-> 200175=25

So C is the Answer.

Quiz of this Question

My Personal Notes arrow_drop_up
Related Articles

Start Your Coding Journey Now!