GATE CS 2017 Set 1 — Question 47
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Engineering Mathematics → Sets & Combinatorics → Inclusion-Exclusion Principle
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Question
The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is ______.
Correct answer
271 to 271
Solution
We use the Principle of Inclusion-Exclusion. Let , , and be the sets of integers between 1 and 500 divisible by 3, 5, and 7 respectively.
- (divisible by ):
- (divisible by ):
- (divisible by ):
- (divisible by ):
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