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3 years ago

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

Mathematics

2 answers:

iren2701 [21]3 years ago

7 0

The answer is 352,716.

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

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

solong [7]2 years ago

7 0

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

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