Using the Fundamental Counting Theorem, it is found that there are 64,000 possible outcomes for the locker combination.
It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, each of the three numbers have 40 outcomes, that is:
[tex]n_1 = n_2 = n_3 = 40[/tex]
Hence the total number of combinations is given by:
N = 40³ = 64,000.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
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