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A survey of 40 houses revealed that 26 receive The Graphic and 24 receive The Times. 10 houses receive both. How many houses receive only The Times?
Mathematics
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Let be the set of houses receiving Graphic and be the set of houses receiving Times.
Total houses, .
Number of Graphic copies, .
Number of Times copies, .
Use the Principle of Inclusion-Exclusion to find the number of houses receiving both newspapers.
The formula is .
Substitute the given values:So, 10 houses receive both Graphic and Times.
Find the number of houses which receive Times only.
The number of houses receiving Times only is .
The number of houses which receive Times only is .
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