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Three persons enter a railway carriage, where there are 5 vacant seats. In how many ways can they seat themselves? |
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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 `=(5xx4xx3)=60.` |
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