In how many ways can 9 people be seated if 3 chairs are available
Answer Details
If there are 9 people and 3 chairs, the first person can choose any of the 9 chairs. After the first person has chosen their seat, there are only 8 chairs left for the second person to choose from. Once the second person has chosen their seat, there are only 7 chairs left for the third person to choose from. Therefore, the total number of ways in which 3 people can be seated in 9 chairs is:
9 x 8 x 7 = 504
Therefore, the answer is 504, which is option (B).