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

2 Answers

3 votes
The answer is 352,716.

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


_(21)C_(10)=(21!)/(10!11!)=352,716
User Nagashree Hs
by
8.0k points
4 votes

Answer:

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

User Daniel Hall
by
8.4k points
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