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Answer :
Final Answer:
The number of families that read none of the three magazines is 39.
Explanation:
To find the number of families that read none of the three magazines, we can use the principle of inclusion-exclusion.
First, we add the individual counts for each magazine: India Today (42), Sunday (30), and New Delhi (28). Then, we subtract the counts of families that read two magazines (India Today and Sunday: 10, India Today and New Delhi: 5, Sunday and New Delhi: 8) to correct for double counting. Next, we add back the count of families that read all three magazines (3).
So, the total is (42 + 30 + 28) - (10 + 5 + 8) + 3 = 100 - 23 + 3 = 80.
Therefore, 100 - 80 = 20 families read at least one magazine, leaving 100 - 20 = 80 families that read none of the three magazines.
To learn more about inclusion-exclusion.
brainly.com/question/32375490
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