Good day, Educators.

This is 1 to 15 multiple choice question.

I hope you can help me.

1. A group may have more than one identity element.* A. True B. False 2. In every cyclic group, every element is a generator.* A. True B. False 3. Z4 is a cyclic group.* A. True B. False 4. Every cyclic group is abelian.* A. True B. False 5. Every abelian group is cyclic,* A. True B. False 6. Rational number under addition is a group.* A. True B. False 7. Permutation multiplication is commutative.* A. True B. False B. The identity permutation is an even permutation.* A. True B. False 9. Every permutation is one-to-one function.* A. True B. False10. The order of (1 2) (3 4) in 54 is 2.* A. True B. False 11. There are three transpositions in (134).* A. True B. False 12. The permutation (145) in $5 is a cycle.* A. True B. False 13. The permutation (145) in $5 has order 2.* A. True B. False 14. The inverse of (145) is (154).* A. True B. False 15. The length of (145) is three.* A. True B. False