Question

A researcher is conducting an experiment to test a new vitamin supplement. The researcher has recruited 8

participants and must divide them into two groups of 4 people each. One group will receive the supplement, while

the other group will receive a placebo pill.

How many ways can the researcher create the two groups for the experiment?

O2

O 4096

O 32

O 140

Answer 1

D.) 140

Explanation:

Answer 2

(C) 32

Explanation:

This is a problem of Permutation and Combination, not probability.

This clarification is given because most questions like this are on Probability and Statistics.

The researcher has recruited 8 participants and must divide them into two groups of 4 people each.

So there's:

GROUP A - Placebo Group

GROUP B - Experimental Group

Since the experiment is on humans - distinct objects - they will have distinct identities. Assume the 8 participants are lined up according to identities 1,2,3,4, 5,6,7,8

[2+2+2+2 +2+2+2+2] × 2 = 16×2 = 32