This is a simple math permutation. the answer is 6 factorial which means 6 * 5 * 4 * 3 * 2 * 1 (aka 720)
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6 to the power of 6 so 6x6x6x6x6x6=46,656
6! = 720
6
If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.