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?

Question

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? (A) Only I (B) Only II (C) Both I and II (D) Neither I nor II

Tardigrade Admin · Accepted Answer

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 =44=256

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?

Only I

Only II

Both I and II

Neither I nor II

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 $= 4^{4} = 256$

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?