Let <math>G{e,a,b,c}</math> be an abelian group with <math>'e'</math> as an identity element. The order of the other elements are:

(A)2,2,3

(B)3,3,3

(C)2,2,4

(D)2,3,4

Solution

e a b c
e a|b|c
a e|b|b

} _____________________

_e_|_a_|_b_|_c_| _e_|_a_|_b_|_c_| _a_|_e_|_b_|_b_| _b_|_c_|_e_|_e_| _c_|_b_|_e_|_a_|

Let <math>G{e,a,b,c}</math> be an abelian group with <math>'e'</math> as an identity element. The order of the other elements are:

(A)2,2,3

(B)3,3,3

(C)2,2,4

(D)2,3,4

Solution[edit]

e a b c
e a|b|c
a e|b|b

} _____________________

_e_|_a_|_b_|_c_| _e_|_a_|_b_|_c_| _a_|_e_|_b_|_b_| _b_|_c_|_e_|_e_| _c_|_b_|_e_|_a_|