How many different samples of size 3 can be selected from a population of size 11? A) 11 B) 33 C) 165 D) 3,960

asked Sep 24, 2023 199k views

2 votes

How many different samples of size 3 can be selected from a population of size 11?

A) 11
B) 33
C) 165
D) 3,960

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6 votes

Answer: C) 165

Explanation:

$\displaystyle\\C_(11)^3=\\\\(11!)/((11-3)!3!) =\\\\\\(8!*9*10*11)/(8!*1*2*3) =\\\\\\(9*10*11)/(2*3) =\\\\3*5*11=\\\\15*11=\\\\165$

VictorGGl answered Oct 1, 2023

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