How many different samples of size 4 can be taken from a finite population of size 12?
A) 48
B) 11,880
C) 3
D) 495

Question

Quizplus · Accepted Answer

The formula for the number of ways to choose a sample of size r from a population of size n is given by the combination formula, which is nCr = n!/(r!(n-r)!). In this case, we want to choose a sample of size 4 from a population of size 12, so the number of different samples is 12C4 = 12!/(4!(12-4)!) = 495. Therefore, the answer is D.

How Many Different Samples of Size 4 Can Be Taken