Let (A7, ⊗7)=({1, 2, 3, 4, 5, 6}, ⊗7) is a group. It has two sub groups X and Y. X={1, 3, 6}, Y={2, 3, 5}. What is the order of union of subgroups?(a) 65(b) 5(c) 32(d) 18I got this question in homework.Origin of the question is Groups in section Groups of Discrete Mathematics

Let (A7, ⊗7)=({1, 2, 3, 4, 5, 6}, ⊗7) is a group. It has two sub g

1.	Let (A7, ⊗7)=({1, 2, 3, 4, 5, 6}, ⊗7) is a group. It has two sub groups X and Y. X={1, 3, 6}, Y={2, 3, 5}. What is the order of union of subgroups?(a) 65(b) 5(c) 32(d) 18I got this question in homework.Origin of the question is Groups in section Groups of Discrete Mathematics
Answer» The correct answer is (b) 5 To elaborate: Given, (A7, ⊗7)=({1, 2, 3, 4, 5, 6}, ⊗7) and the union of two sub groups X and Y, X={1, 3, 6} Y={2, 3, 5} is X∪Y={1, 2, 3, 5, 6} i.e., 5. Here, the ORDER of the union can not be divided by order of the GROUP.

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