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Let K be a group with 8 elements. Let H be a subgroup of K and H

Answer»

Correct answer is (d) 4

The BEST I can explain: For any FINITE group G, the order (number of ELEMENTS) of every subgroup L of G divides the order of G. G has 8 elements. Factors of 8 are 1, 2, 4 and 8. Since given the size of L is at LEAST 3(1 and 2 eliminated) and not equal to G(8 eliminated), the only size left is 4. Size of L is 4.



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