Mathematics · Permutations and Combinations
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: When linearly arranging the five distinct letters A, B, C, D, and E, the total number of arrangements where the vowels A and E are never adjacent to each other is evaluated as 12. Reason R: To calculate arrangements where no two specific objects are adjacent, the gap method is utilized by first arranging the unrestricted objects and subsequently inserting the restricted objects into the newly created gaps. In the light of the above statements, choose the most appropriate answer from the options given below:
- 1Both Assertion A and Reason R are correct, but R is NOT the correct explanation of A
- 2Assertion A is correct, but Reason R is not correct
- 3Assertion A is not correct, but Reason R is correct✓
- 4Both Assertion A and Reason R are correct, and R is the correct explanation of A
Correct answer
Assertion A is not correct, but Reason R is correct
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