Multiple choice

Vidhi is creating a $3$-letter code using the letters A, B and C. She has decided that each letter will only be used once in the code. How many different $3$-letter codes can Vidhi create ?

  1. $3$
  2. $6$
  3. $9$
  4. $12$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The number of ways to arrange 3 distinct letters is 3! = 3 * 2 * 1 = 6.

AI explanation

Vidhi is creating a 3-letter code using the 3 distinct letters (A, B, C) without repetition. The number of possible codes is the number of permutations of 3 items taken 3 at a time. Using the permutation formula 3P3 = 3!/(3-3)!, we calculate 3 x 2 x 1 = 6.

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