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Assuming that you have to use all 4 of the letters with no repeats there are 4! or 4 factorial. Because you are asking how many ways can I arrange n objects if I use all n of them, the number of permutations is n!. To calculate factorials, you multiply the number by every integer before it until you reach 1. So 4! equals 4 X 3 X 2 X1 or 24. So there are 24 ways you can arrange the letters G,X,K, and T.
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