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)=(21!)/(10!11!)=352,716`

Answer 2

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

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) = (n!)/(x!(n-x)!)`

10 people from a set of 21

`C_(21,10) = (21!)/(10!(21-10)!) = 352,716`

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