Question

In how many ways 5 passengers can sit in a compartment having 16 vacant seats​

Answer 1

9514 1404 393

Answer:

524,160

Explanation:

Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:

16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160

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The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.