Question

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

Answer 1

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`