In how many ways can 9 people be seated if 3 chairs are available?
A
720
B
504
C
336
D
210
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
To find the number of ways to seat 9 people in 3 chairs, we use the permutation formula:
\(P(n, r) = \frac{n!}{(n - r)!}\)
where \( n \) is the total number of people and \( r \) is the number of chairs. Here, \( n = 9 \) and \( r = 3 \):
\(P(9, 3) = \frac{9!}{(9 - 3)!} = \frac{9!}{6!}\)
Calculating this, we have:
\(P(9, 3) = 9 \times 8 \times 7 = 504\)
Thus, the number of ways to seat 9 people in 3 chairs is 504 ways
Source: Myschool Past Questions Archive (Record #9455)