Final answer:
The total number of different ways to fill 4 job positions with 15 candidates is calculated using permutations, resulting in 15 x 14 x 13 x 12 which equals 32,760. However, none of the provided answer choices match the correct answer.
Step-by-step explanation:
The question is asking how many different ways there are to fill 4 job positions with 15 candidates. This is a permutations problem because the order in which the candidates are chosen matters. To solve this, we can use the formula for permutations, which in this case is P(n,r) = n! / (n-r)!. Since we have 15 candidates (n) and 4 positions (r), the calculation is 15! / (15-4)!.
The first position can be filled by any of the 15 candidates, the second by any of the remaining 14, the third by any of the remaining 13, and the fourth by any of the remaining 12. Therefore, the total number of possible outcomes is 15 x 14 x 13 x 12, which equals 32,760.
However, since none of the provided answer choices match the correct answer, there might be a typo in the question or the answer choices. None of the provided options A) 15, B) 30, C) 60, D) 120 are correct.