In a group there must be only __________ element.(a) 1(b) 2(c) 3(d) 5The question was posed to me in homework.My question comes from Groups topic in portion Groups of Discrete Mathematics

In a group there must be only __________ element.(a) 1(b) 2(c) 3(d) 5T

1.	In a group there must be only __________ element.(a) 1(b) 2(c) 3(d) 5The question was posed to me in homework.My question comes from Groups topic in portion Groups of Discrete Mathematics
Answer» CORRECT choice is (a) 1 Explanation: There can be only one IDENTITY element in a group and each element in a group has exactly one inverse element. Hence, TWO important consequences of the group AXIOMS are the uniqueness of the identity element and the uniqueness of inverse elements.

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