Respuesta :
120 different samples can be taken.
[tex]_{10}C_3=\frac{10!}{3!7!} = 120[/tex]
[tex]_{10}C_3=\frac{10!}{3!7!} = 120[/tex]
A combination is a selection of part from a set of objects. In a combination the order of selecting object does not matters.
So we use combination for selecting 3 from the population of 10
We know combination of selecting 'r' objects from 'n' is nCr
[tex] nCr = \frac{n!}{r!(n-r)!} [/tex]
We need to find 10C 3
[tex] 10C3 = \frac{10!}{3!(10-3)!} [/tex]
[tex] = \frac{10!}{3!7!} [/tex]
= 120
120 different samples of size 3 can be taken from a finite population of size 10
