Respuesta :
The number of people who are not Democrats , do not wear glasses, and don not like ice-cream by using sets are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.
Given total people of 1000 people, 595 democrats, 595 wearing glasses, 550 like ice cream, 395 of them are democrats who wear glasses,350 of them are democrats who like ice cream and 400 of them wear glasses as well as like ice cream ,250 of them are democrats as well as wear glasses and like ice cream.
We have to find the number of people who are not democrats , do not wear glasses ,do not like ice cream and the number of people who do not wear glasses and do not like ice cream.
let X shows the number of democrats and G be number of people who wear glasses and I be the number of people like ice cream.
So,
D=595, G=595 AND I=550
Now D∩G=395
D∩I=350
G∩I=400
so D∩G∩I=250
Formula will be :
D∪G∪I=D+G+I-(D∩G)-(G∩I)-(D∩G)+(D∩G∩I)
=595+595+550-(395+350+400)+250
=845
845 are either democrats or wear glasses as well as like ice cream.
So 1000-845=155
Number of people who are democrats, do not wear glasses and do not like ice cream=D-(D∩G)-(D∩I)+(D∩G∩I)
=595-(395+300)+250
=845-695
=150 people.
Hence the number of people who are not Democrats , do not wear glasses, and don not like ice-cream are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.
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