位置9的问题 The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is 题库 1/1[input].

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BlackTom AI · Accepted Answer

We are counting the number of samples of size 3 drawn without replacement from a population of 5, and order does not matter.
This is a standard combinations problem: the number of 3-element subsets from a 5-element set is C(5,3).
Compute: C(5,3) = 5! / (3! 2!) = 10.
Alternatively, you can think of it as selecting which 2 elements to exclude from the 5; there are C(5,2) = 10 ways to choose those, each corresponding to a unique 3-element sample.
A general rule to remember: when sampling without replacement and ignoring order, use the binomial coefficient n choose k (written C(n,k)).

位置9的问题 The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is 题库 1/1[input].

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