From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combination of random samples of 4 students can be selected?
A)48
B)20,736
C)16
D)495

Question

Quizplus · Accepted Answer

The number of combinations of n objects taken r at a time is given by the formula nCr = n!/r!(n-r)!. In this case, we want to select 4 students from a group of 12, so the number of combinations is 12C4 = 12!/4!8! = 495. Therefore, the correct answer is D.

From a Group of 12 Students, We Want to Select