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
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Given 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
- Now we have from the union formula for any finite sets for the number of elements A and B
- So n(A U B) = n(A) + n(B) – n(A Ո B)
- Now number of families are 1003
- So families having either phone or T.V = 63
- So 1003 – 63 = 940
- So applying the above equation we get
- (since n(A) = 794 and n(B) = 187) we get
- 940 = 794 + 187 – n (A Ո B)
- 940 = 981 – n(A Ո B)
- Or n(A Ո B) = 981 – 940
- = 41
- So the number of families having both phone and TV is 41
Reference link will be
https://brainly.in/question/7439597
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