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The number of words of three distinct letters formed from the letters of the word "PNTU" is :

  • A.24
  • B.\(2^{4}\)
  • C.\(4^{2}\)
  • D.\(4^{6}\)

Answer: A

The number of words is 24.

PNTU has 4 distinct letters, and a word of three distinct letters is an ordered arrangement of 3 of them:

\[ {}^{4}P_{3} = 4 \times 3 \times 2 = 24 \]

\(2^{4} = 16\) counts subsets of the 4 letters, \(4^{2} = 16\) counts two-letter words with repetition, and \(4^{6}\) has no connection with the count.

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