Final answer:
20349 8 person juries can be formed from 21 possible candidates.
Step-by-step explanation:
To find the number of 8 person juries that can be formed from 21 possible candidates, we can use the combination formula. The formula for combinations is given by nCr = n! / ((n-r)! * r!), where n is the total number of candidates and r is the number of candidates needed for the jury. In this case, n = 21 and r = 8. Plugging these values into the formula, we get:
- nCr = 21! / ((21-8)! * 8!)
- = 21! / (13! * 8!)
- Using factorials, we simplify the expression:
nCr = (21 * 20 * 19 * 18 * 17 * 16 * 15 * 14) / (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
After calculating this expression, we find that the number of 8 person juries that can be formed from 21 possible candidates is 20349.