Mathematics · Group Theory
Given below are two statements regarding modern algebra: Assertion (A): The order of a finite group is divisible by the order of its subgroup. Reason (R): Every finite group contains an element of every order that divides the order of the group. Select the correct answer using the options given below:
- 1Both (A) and (R) are true, but (R) is not the correct explanation of (A).
- 2(A) is false, but (R) is true.
- 3Both (A) and (R) are true and (R) is the correct explanation of (A).
- 4(A) is true, but (R) is false.✓
Correct answer
(A) is true, but (R) is false.
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