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Asked Dec 29, 2019

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Combination Lock The typical combination lock uses three numbers, each between 0 and 49. Opening the lock requires entry of the three numbers in the correct order. Is the name “combination” lock appropriate? Why or why not?

Step 1

Given that,

In this context, there are 50 possible ways for selecting of each selected number of opening the lock, they are, {0, 1, 2… 49}. The total number of possible ways to open the lock is,

Step 2

Because the repetition of numbers is allowed, hence combination and permutation rules do not apply.

In fact multiplication counting rule wi...

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