Multiple choice

How many different words can be formed using the letters of the word 'PERSONAL' such that the word always ends with a consonant?

  1. 25200

  2. 5040

  3. 15120

  4. 201600

  5. None of these
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A Correct answer
Explanation

The word PERSONAL has 8 letters. Consonants are P, R, S, N, L (5 consonants). Vowels are E, O, A (3 vowels). The last position must be a consonant, so choose 1 of 5 consonants for that position. The remaining 7 positions can be filled with the remaining 7 letters in 7! = 5040 ways. Total arrangements = 5 × 7! = 5 × 5040 = 25200.

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