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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.
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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