Question

From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combinations of random samples of 4 students can be selected?a. 48b. 20,736c. 16d. 495

Answer 1

495 combinations

Explanation:

-This question tests our knowledge of Combinations.

-Given n=12 and the random sample x=4,

-The number of different selections is the calculated as the population number combination the sample size:

`={n\choose x}\\\\={12\choose4}\\\\=_(12)C_4\\\\=495`

Hence, there are 495 different ways of doing the selection.