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How many ways are there to select five unordered elements from a set with three elements when repetition is allowed?

Sagot :

The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.

According to the given question.

The total number of elements, n = 3

The number of elements to be selected at a time when repetition is  allowed, r = 5

Since, we know that " the number of ways or permutations of n things taken r all at a time, when repetition of things are allowed, is [tex]n^{r}[/tex].

Therefore,

The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed

= [tex]3^{5}[/tex]

= 243

Hence, the number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.

Find out more information about permuations here:

https://brainly.com/question/13833229

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