from a survey of 100 college students, a marketing research company found that 65 students owned iPods 55 owned cars 25 owned both cars and iPods how many students do not own either a car or an iPod?
To solve this problem, we can use the principle of inclusion-exclusion.
Let's use the formula:
Total = iPods + cars - both + neither
We know from the given information:
iPods = 65
cars = 55
both = 25
Substituting the values into the formula:
100 = 65 + 55 - 25 + neither
Rearranging the equation:
100 = 95 + neither
To find the number of students who do not own either a car or an iPod, we subtract 95 from both sides:
100 - 95 = neither
Therefore, 5 students do not own either a car or an iPod.