If 5 persons enter a bus in which there are 15 seats how many ways are there for the 5 to be seated

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Text Solution

Solution : Clearly, the first person can occupy any of the 5 seats. <br> So, there are 5 ways in which the first person can seat himself. <br> Now, the second person can occupy any of the remaining 4 seats. <br> So, the second person can be seated in 4 ways. <br> Similarly, the third person can occupy a seat in 3 ways. <br> Hence, by the fundamental principle of multiplication, the required number of ways `=(5xx4xx3)=60.`