In how many ways can six persons be seated in a row?

Question:

In how many ways can six persons be seated in a row?

Solution:

Number of seats available to the first person = 6

Number of seats available to the second person = 5

Number of seats available to the third person = 4

Number of seats available to the fourth person = 3

Number of seats available to the fifth person = 2

Number of seats available to the sixth person = 1

Total number of ways of making the seating arrangement $=6 \times 5 \times 4 \times 3 \times 2 \times 1=720$

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