The total number of unique subset of 5 letter words possible are 840 and the total number of different strings that could be made 5040.
The word 'unusual' contains a total of 7 letters.
A subset of 5 letters from the seven letters of the word unusual can be found out by making the combinations of all the five letter words possible from the seven letters.
As we can see that there are total of 7 letters among which u is repeated three times. Number of the possible combinations for the subset of 5 letter word are,
= 7×6×5×4
= 840.
So, there are 840 subset possible.
The total number of Strings that are possible is,
= 7×6×5×4×3×2×1
= 5040.
So, the total number of Strings possible are 5040.
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