Multiple choice

How many distinct words can be formed using all the letters of the word 'SUCCESSFUL' such that the letter 'L' is always placed at the middle position? A.9!/(2!×2!×2!) B.9!/(3! × 2!) C.9!/(2!×2!×3!) D.9!/(2!×3!) E.None of these

  1. A

  2. B

  3. C

  4. D

  5. E
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

By fixing the letter L in the middle position, we must arrange the remaining 9 letters of the word in the other slots. These remaining letters include 3 Ss, 2 Cs, 2 Us and three other unique letters, so we apply the formula for permutations with repetitions. The calculation is 9! / (3! x 2! x 2!), making the correct expression 9! / (2! x 2! x 3!).

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