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the word great has 5 different letters..

so at 1st place 5 different letters can exist, at 2nd, left 4 letters can exist, at 3rd.. 3 left letters, at 4th, 2 left letters and 5th ..1 left letter..

so for permutation... we do possible options at 1st place X possible options at 2nd place ... and so on till X possible options at 5th place.

= 5 X 4 X 3 X 2 X 1

=20 X 6

= 120

so the word great has 120 possible permutations.

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