Answered

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How many different simple random samples of size 5 can be obtained from a population whose size is 38?

Sagot :

In this scenario, the order of selection does not matter. Thus, we would apply the method of combination. The combination formula for calculating the number of ways of selecting r items from n items is expressed as

nCr = n!/(n - r)!r!

From the information given,

n = 38

r = 5

Thus,

38C5 = 38!/(38 - 5)!/5!

= 38!/33!5!

= 501942

501942 different simple random samples of size 5 can be obtained from a population whose size is 38

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