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Question

Three persons entered a railway compartment in which 5 seats were vacant. Find the number of ways in which they can be seated

A
30
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B
45
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C
120
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D
60
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Solution

The correct option is D 60
The first person can choose to sit in any of the 5 seats in 5 ways.
Then the second person can choose to sit in any of the remaining 4 seats in 4 ways.
Lastly, the third person can choose to sit in any of the remaining 3 seats in 3 ways.
So, total number of ways =5×4×3=60 ways

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