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

Question

Quizplus · Accepted Answer

To select a sample of 4 students out of a group of 12, we can use the combination formula:

nCr = n! / r!(n-r)!

where n is the total number of students (12 in this case) and r is the number of students we want to select for the committee (4 in this case).

Plugging in the values, we get:

12C4 = 12! / 4!(12-4)! = 495

Therefore, there are 495 different random samples of 4 students that can be selected. Option D is the correct answer.

From a Group of 12 Students,we Want to Select a Random