Mathematics · Combinatorics
Given below are two statements, one labelled as Assertion (A) and the other labelled as Reason (R): Assertion (A): If a department contains 13 professors, then at least two of the professors were born in the same month. Reason (R): The Pigeonhole Principle states that if there are more 'pigeons' than 'pigeonholes', there must be at least one pigeonhole containing more than one pigeon. In light of the above statements, choose the correct answer from the options given below:
- 1(A) is false, but (R) is true
- 2(A) is true, but (R) is false
- 3Both (A) and (R) are true but (R) is not the correct explanation of (A)
- 4Both (A) and (R) are true and (R) is the correct explanation of (A)✓
Correct answer
Both (A) and (R) are true and (R) is the correct explanation of (A)
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