There are 6 candidates for 3 posts. In how many ways can the posts be filled?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 120
The three posts are different, so it matters who gets which post: the posts are filled one after another, and the numbers of choices are multiplied.
The first post can go to any of the 6 candidates, the second to any of the 5 left, the third to any of the 4 left
Number of ways \(=6\times5\times4=120\)