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In how many ways can 9 people be seated if 3 chairs are available?

Mathematics
JAMB 2009

In how many ways can 9 people be seated if 3 chairs are available?

  • A. 720
  • B. 504
  • C. 336
  • D. 210
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Correct Answer: Option B
Explanation

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

 

There is an explanation video available below.


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Explanation Video

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