In: Math
1. a. How many permutations are there of the letters {A,B,C,D,E,F}? Of there, how many are even?
b. Express the permutation BAFEDC in P6 in cycle notation and determine whether it is even or odd.
c. Determine the composition BAFEDC*BCAFDE in P6. Is the composition even or odd?
d. What is the members of P6 whose cycle notation (1345)(26)?