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  4. The number of 4 letter words that can be formed from letters of the word 'PART', when: Statement I: Repetition is not allowed is 24 . Statement II: Repetition is allowed is 256 . Which of the above statement(s) is/are true?

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Q. The number of $4$ letter words that can be formed from letters of the word 'PART', when:
Statement I : Repetition is not allowed is $24$ .
Statement II : Repetition is allowed is $256$ .
Which of the above statement(s) is/are true?

Permutations and Combinations

Solution:

I. Number of 4 letter words that can be formed from alphabets of the word 'PART'
$={ }^{4} P _{4}=4 !=24$
II. Number of 4 letter words that can be formed when repetition is allowed $=4^{4}=256$