How many ways are there to select five unordered elements from a set with three elements when repetition is allowed?
1 answer:
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 .
Therefore,
The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed
=
= 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.
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The probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.
<h3>What are some of the properties of Poisson distribution?</h3>The Poisson distribution is a discrete probability distribution that describes the likelihood of a specific number of events occurring in a specified span of time or space, if these events occur at a constant mean rate and regardless of the time since the last occurrence.
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We have to find the probability that on any day, the number of special orders sent out will be exactly 3. Therefore, the value of x will be 5.
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Hence, the probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.
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