Mathematics · Group Theory
Given below are two statements, one is labelled as Assertion (A) and the other as Reason (R): Assertion (A): In a finite group, the order of every element is a divisor of the order of the group. Reason (R): Every finite group contains a subgroup of every order that divides the order of the group. Select the correct answer using 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
(A) is true but (R) is false.
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