Question 1024037: a population consists of 14 values. How many samples of size 5 are possible?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i believe this will be c(14,5) = 14! / (5! * 9!).
that value will be 2002.
that formula is the number of sets of 5 values that can be taken from a poopulation of 14 values.
order is not important, because the set contains the same elements regardless of what position those elements have in the set.
each of these samples will have at least one value that is different from any other sample.
an easy way to see this is to use a much smaller population.
suppose a population of 3 values and you want to know how many samples of size 2 are possible.
the same formula will tell you that the number of samples is c(3,2) = 3! / (2! * 1!).
that value is equal to 3.
if the population contains the values of a,b,c, then the samples are ab, ac, bc.
each one of these samples has at least one value that's different from any other sample.
the same concept applies to much larger populations.
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