Final answer:
24310 different 8-person juries can be formed from 17 possible candidates.
Step-by-step explanation:
To find the number of 8-person juries that can be formed from 17 possible candidates, we can use the combination formula. In this case, the order of the selected candidates does not matter, so we can use the combination formula instead of the permutation formula.
The combination formula is given by:
C(n, r) = n! / (r! * (n-r)!)
where n is the total number of candidates and r is the number of candidates selected for the jury.
Substituting the given values into the formula, we have:
C(17, 8) = 17! / (8! * (17-8)!)
Simplifying the expression:
C(17, 8) = (17 * 16 * 15 * 14 * 13 * 12 * 11 * 10) / (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
C(17, 8) = 24310
Therefore, there are 24310 different 8-person juries that can be formed from 17 possible candidates.