Answer:
it is C 10
Step-by-step explanation:
If the positions are distinct, as in executive offices, then P(9, 5).
P(9, 5) = 9!/(9 - 5)! = 15120
If the positions are equivalent, such as seats in a legislative body, then C(9, 5).
C(9, 5) = 9!/[(9 - 5)!(5!)] = 126
Assuming the five positions are unique in their duties and responsibilities (i.e. order matters): position 1 has 9 candidates to choose from, position 2 has 8, position 3 has 7, and so on. Otherwise, if you're talking about 5 distinct but duplicate positions - meaning their responsibilities are the same but 5 people are required to carry them out - you need to divide the previous total number of possibilities by the number of ways those possibilities could have been reordered.
