Another Set Counting Question
This question is taken from a book. I have posted it because I would
like to understand how to complete it to do a similar problem for my homework.
In a survey of 1000 households, washing machines, vacuum
cleaners and refrigerators were counted. Each house had at least
one of these appliances.
400 had no refrigerator
380 had no vacuum cleaner
542 no washing machine
294 had both a vacuum cleaner and washing machine
277 both a refrigerator and a vacuum cleaner
190 both a refrigerator and a washing machine.
How many households had all three appliances?
How many had only a vacuum cleaner?
Thanks for any guidance.