Consider all samples of size of 5 from the population
2,5,7,9,10,11,12
N=7
n=5
Number of samples =N!n!(N−n)!= \frac{N!}{n!(N-n)!}=n!(N−n)!N!
=7!5!(7−5)!=6×72=21= \frac{7!}{5!(7-5)!}= \frac{6 \times 7}{2}= 21=5!(7−5)!7!=26×7=21
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