a - 150-85=65 single
b - 150-70= 80 w/o cellphone
c - 150-75= 75 who own a car
d - 150-55= 95 single w/o cellphone
e - 150-35= 115 w/o cell phone and car
f - 150-40= 110 single without a car
g - 150-30= 120 single. w/o car and cellphone
150 men live in a certain town:
85 are married
70 have a cell phone
75 own a car
55 are married and have a cell phone
35 have a cellphone and a car
40 are married and have car
30 are married, have a car and have a cellphone. How many men are single and do not have a car? How many men are single and do not have either a car or a cellphone?
2 answers
You could use Venn diagrams or use the formula:
N(car OR cell OR married)
= N(car) + N(cell)) + N(married) - N(car AND cell) - N(car AND married) - N(cell AND married) + N(car AND car AND married)
=75+70+85-35 - 40 - 55 + 30
= 130
but there were 150 men considered, so 20 have no phone or car and are single
My Venn diagrams gave me the same answer, but it also shows many other subsets,
e.g. the number of married men who have a car but no cellphone is 10, etc
N(car OR cell OR married)
= N(car) + N(cell)) + N(married) - N(car AND cell) - N(car AND married) - N(cell AND married) + N(car AND car AND married)
=75+70+85-35 - 40 - 55 + 30
= 130
but there were 150 men considered, so 20 have no phone or car and are single
My Venn diagrams gave me the same answer, but it also shows many other subsets,
e.g. the number of married men who have a car but no cellphone is 10, etc
1 answer