Multiple choice

In how many ways can 4 distinct letters be placed into 3 distinct boxes ?

  1. 3⁴

  2. 4³

  3. 4

  4. 1

  5. None of the above
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A Correct answer
Explanation

Each of the 4 distinct letters has 3 choices of boxes. Since the letters are distinct, the total number of ways is 3 * 3 * 3 * 3 = 3^4.

AI explanation

Each of the 4 distinct letters has 3 independent choices for which box it can be placed in. According to the fundamental principle of multiplication, the total number of ways is the product of the choices for each letter. Therefore, the total ways are 3 * 3 * 3 * 3 = 3^4 = 81.

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