Question

In a class of 50 students, 25 are joined in science club 27 were joined in maths club 17 joined in both science and maths club. How many students join neither in science nor in maths club?​

Answer 1

Step-by-step explanation:

1. Total student - 50
2. Students who joined Science club - 27
3. Students who joined Mathematics club - 17
4. Students who joined neither club - 17
5. Add students of science and mathematics club - 27+17 = 44
6. Total Students - 50
7. Hence, 50 - 44 = 6 Students

Answer 2

Venn Diagram

Total number of students in a class is 50.

No. of students who joined maths club $=27$

No. of students who joined science club$=25$

No. of students who joined both science and maths club $=17$

$A\cup B=A+B-A\cap B$

Lets take Science is S

Lets take Maths as M

and we can infer that $S\cap M=17$,

Hence,

$S\cup M=S+M-S\cap M$

$\implies S\cup M=25+27-17\\\\\implies S\cup M= 35$

Hence, number of students who neither join science nor the maths club=$(50-35)=15$

A figure showing venn diagram is attached.