Question

In order to conduct an​ experiment, 55 subjects are randomly selected from a group of 4343 subjects. How many different groups of 55 subjects are​ possible?

Answer 1

Answer:

962,598 different groups of 5 subjects are possible.

Step-by-step explanation:

The order is not important.

For example, Math, English, Business, Geography and History is the same group as English, Math, Business, Geography and History.

So we use the combinations formula to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Combinations of 5 subjects from a set of 43

$C_{43, 5} = \frac{43!}{5!(43-5)!} = 962598$

962,598 different groups of 5 subjects are possible.