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In a class of 30 pupils, 12 take Chemist...

In a class of 30 pupils, 12 take Chemistry, 16 take Physics and 18 take History. If all the 30 students take atleast one subject and no one take all three, then the number of pupils taking 2 subjects is

A

16

B

6

C

8

D

20

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `n( C )=12,n(P)=16,n(H)=18`,
`n(C uu P uu H)=30`
and `n(C nn P nn H)=0`
Now `(C uu P uu H)=n( C )+n(P)+n(H)-n(C nn P)-n(P nn H)-n(H nn C)+n(C nn P nn H)`
`implies" "n(C nn P)+n(P nn H)+n(H nn C)`
`=(12+16+18)-30`
`=46-30=16`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SETS, RELATIONS AND FUNCTIONS-Exercise 2 (MISCELLANEOUS PROBLEMS)
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