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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

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opudodennis

Answer:

495 combinations

Step-by-step 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:

[tex]={n\choose x}\\\\={12\choose4}\\\\=_{12}C_4\\\\=495[/tex]

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