Multiple choice

Using the letters of the word TRICK, a five letter word with distinct letters is formed such that $C$ is in the middle. In how many ways this is possible?

  1. $6$
  2. $120$
  3. $24$
  4. $72$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The word TRICK has 5 distinct letters. If C is fixed in the middle, we have 4 positions left for the remaining 4 letters (T, R, I, K). The number of arrangements is 4! = 4 * 3 * 2 * 1 = 24.

AI explanation

We must form a five-letter word from the 5 distinct letters of TRICK while keeping C fixed in the middle position. The remaining 4 positions must be filled by the remaining 4 distinct letters (T, R, I, K). The number of ways to arrange these 4 letters in the 4 spots is 4!, which equals 24 ways.

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