Question

three persons boarded a bus in which 5seats are vacant. In how many different ways can they sit?


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Answer 1

Answer:

Clearly, the first person can occupy any of the 5 seats.

So, there are 5 ways in which the first person can seat himself.

Now, the second person can occupy any of the remaining 4 seats.

So, the second person can be seated in 4 ways.

Similarly, the third person can occupy a seat in 3 ways.

Hence, by the fundamental principle of multiplication, the required number of ways =(5×4×3)=60 ways