SOLUTION: A survey of 1045 workers in a plant indicated that 660 owned houses, 800 owned cars, 355 owned boats, 500 owned cars and houses, 260 owned houses and boats, 310 owned cars and boat

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Question 1133477: A survey of 1045 workers in a plant indicated that 660 owned houses, 800 owned cars, 355 owned boats, 500 owned cars and houses, 260 owned houses and boats, 310 owned cars and boats, and 250 owned all three.
(a) How many of the workers did not own any of the three items?
workers
(b) How many of the workers owned only two of the items?
workers
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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In order to learn on how to solve such problems,  look into the lessons
    - Advanced problems on counting elements in sub-sets of a given finite set
    - Challenging problems on counting elements in subsets of a given finite set
in this forum.

See also numerous solved similar problems in the archive to this forum under the links

https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1132870.html
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1129554.html
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1129554.html
https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.1126097.html
https://www.algebra.com/algebra/homework/word/evaluation/Evaluation_Word_Problems.faq.question.1126099.html

From these sources,  lean on how to solve such problems once and for all.