From 8 names on a list, a sample of 3 will be asked about voting preferences in an upcoming election. How many different samples are possible?
A) 56
B) 336
C) 6720
D) 168

Question

Quizplus · Accepted Answer

The number of different samples is calculated using combinations, not permutations, because the order of selection does not matter. The formula for combinations is C(n, r) = n! / (r!(n-r)!), where n is the total number of items to choose from, and r is the number of items to choose. Here, C(8, 3) = 8! / (3!(8-3)!) = 56.

From 8 Names on a List, a Sample of 3