Answered

Use either a permutation or combination to solve each.
5- To set a lock, you must select 3 unique numbers in a row out
of a possible 15 number choices. How many different ways can a
unique code be selected without repeating a number choice?



Answer :

GinnyAnswer

Final answer:

Permutations are used to calculate unique selections in a specific order. For selecting a lock code of 3 unique numbers from 15 choices without repetition, there are 3,060 different ways to do so.


Explanation:

Permutations are used to determine the number of ways to select unique elements in a specific order. In this case, selecting 3 unique numbers in a row from 15 choices for a lock code without repeating any numbers involves using permutations.

The formula for permutations without repetition is n!/(n-r)!, where n is the total number of choices and r is the number of selections. For this lock example, it would be 15!/12! to find the number of unique lock codes.

Therefore, the total number of different ways to select a unique 3-number code from 15 choices without repeating any numbers is 3,060.


Learn more about Permutations here:

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