How many different samples of size 3 (without replacement) can be taken from a finite population of size 10?
A) 30
B) 1,000
C) 720
D) 120

Question

Quizplus · Accepted Answer

The number of different samples of size 3 that can be taken from a population of size 10 without replacement is calculated using the combination formula, which is $C(n, k) = \frac{n!}{k!(n-k)!}$. Here, $n=10$ and $k=3$, so $C(10, 3) = \frac{10!}{3!(10-3)!} = \frac{10 \times 9 \times 8}{3 \times 2 \times 1} = 120$.

How Many Different Samples of Size 3 (Without Replacement) Can