Question

An experiment involves 32 participants. From these, a group of 4 participants is to be tested under a special condition. How many groups of 4 participants are possible? A. 35 groups

B. 16 groups
C. 8 groups
D. 4 groups

Answer 1

There are 35,960 possible groups of 4 participants from the total of 32 participants.

Step-by-step explanation:

To determine the number of possible groups of 4 participants from a total of 32 participants, we can use the combination formula. The formula for combinations is nCr = n!/r!(n-r)!, where n is the total number of participants and r is the number of participants in each group.

For this experiment, we have 32 participants and we want to select groups of 4 participants. Plugging these values into the formula, we get:

32C4 = 32! / 4!(32-4)! = 32! / 4!28! = (32 * 31 * 30 * 29) / (4 * 3 * 2 * 1) = 35,960

Therefore, there are 35,960 possible groups of 4 participants.