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Answer:

The total number of possible outcomes if the code has 3 letters is 64

Step-by-step explanation:

The keypad has only the letters A-D, that is, A,B,C,D.

To calculate the total number of possible outcomes if the code has 3 letters,

let these spaces represent the code _ _ _

For the first space, there are 4 possibilities (since we have 4 letters)

For the second space, we also have 4 possibilities (since there is no restriction on repetition)

Also, we have 4 possibilities for the last space.

Hence, the total number of possible outcomes if the code has 3 letters is 4×4×4 = 4³ = 64.

MrRoyal

There are 64 total possible outcomes if the code has 3 letters

The number of letters is given as:

n = 4

The code makes use of three letters.

This means that:

  • The first letter can be any of the 4 letters
  • The second letter can be any of the 4 letters
  • The third letter can be any of the 4 letters

So, the number of possible outcomes is:

Outcomes = 4 * 4 * 4

Evaluate the product

Outcomes = 64

Hence, there are 64 total possible outcomes if the code has 3 letters

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