Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Algebra Group & Subgroups
Which of the following is(/ are) correct:
(A) Every permutation of a finite set can be written as a cycle or as a product of disjoint cycles.
(B) The order of a permutation of a finite set is the greatest common divisor of the length of the cycles.
(C) Every permutation of length n > 1, is product of 2-cycles
Choose the correct answer from the options given below:
1
(A) and (B)only
2
(B) only
3
(A) and (C)
4
(A), (B) and (C)