In a statistical investigation of 1003 families of Chandigarh it was found that 63 families has neither a phone nor a TV, 794 families has none and 187 has a TV. the number of families in that group having both a phone and a TV

  • Option 1)

    36

  • Option 2)

    41

  • Option 3)

    32

  • Option 4)

    None of these. 

 

Answers (1)

As we learnt in 

Number of Elements in Union A & B -

n (A ∪ B) = n (A) + n (B) – n (A ∩ B)

- wherein

Given A and B be any finite sets. then Number of Elements in union A & B is given by this formula.

 

 n(phone) =794                   n(TV)=187

Families having eaither phone or TV

=1003 - 63=940

 

\\Thus\: \: 940=794+187-\left n( P\cap T \right )\\*\\*n\left ( P\cap T \right )=41


Option 1)

36

Incorrect

Option 2)

41

Correct

Option 3)

32

Incorrect

Option 4)

None of these. 

Incorrect

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