saravananbs

If S7 denote the symmetric group of all permutation of { 1 2 3 4 5 6 7} pick the true statement a) S7 has an element of order 10. b) S7 has an element of order 15. c) the order of any element of S7 is atmost 12. how to do it?

pls tell me how to start.

find the linear transformation which maps (1,0,1) to (1,1) (1,1,1) to (0,1) & (1,0,0) to (1,0)? please explain.

please tell me the no. of generators of the groups of order 60.