Question

How many 10 person juries can be formed from 21 possible candidates???

Answer 1

The answer is 352,716.

This is a combination; out of 21 you are choosing 10:

$_{21}C_{10}=\frac{21!}{10!11!}=352,716$

Answer 2

Answer:

352,716 juries of 10 people can be formed from 21 possible candidates

Step-by-step explanation:

I am supposing that there are no roles in the jury, which means that the order in which the people are chosen is not important. So i calculate the number of possible juries using the combinations formula.

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.

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

10 people from a set of 21

$C_{21,10} = \frac{21!}{10!(21-10)!} = 352,716$

352,716 10 person juries can be formed from 21 possible candidates