Question

(2) Write down all peomutation on
4 symbolls {1,2,3,4}



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Answer 1

Answer:

There are 24 permutations. The 12 even permutations are: id , (1 2 3 4) , (1 3 2 4) , (1 4 2 3) , (1 2 3) , (1 2 4) , (1 3 2) , (1 3 4) , (1 4 2) , (1 4 3) , (2 3 4) , (2 4 3).

The 12 odd ones: (1 2) , (1 3) , (1 4) , (2 3) , (2 4) , (3 4) , (1 2 3 4) , (1 2 4 3) , (1 3 2 4) , (1 3 4 2) , (1 4 2 3) , (1 4 3 2).