In how many ways can 4 people be seated on 6 chairs in a row?
Explanation:
Let the chairs be numbered as 1 2 3 4 5 6.
First person can be chaired on any of the 6 chairs i.e., in 6C1 = 6 ways.
Now, out of the remaining 5 chairs, the 2nd person can be chaired in 5C1 = 5 ways.
Similarly,
3rd person can be chaired in 4 ways. 4th person can be chaired in 3 ways.
∴ Total number of ways of chairing these 6 people in a row = 6 × 5 × 4 × 3 = 360 ways.
Hence, 360.
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