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Question

Find the number of $$4$$ letter words that can be formed using the letters of the word $$PISTON$$, in which at least one letter is repeated.


Solution

To find the number of $$4$$ letter words having at least one letter repeated, we find the total number of $$4$$ letter words possible and subtract from that the number of $$4$$ letter words having no repetition.
$$\therefore$$ we get the answer as $$6^4 - { }^6C_4$$

Mathematics

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