At a retirement party, there will be seven people seated in a single row along a table. The honored guest in the middle seat. How many different seating arrangements can be made at the table?
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Draw a diagram: a row of boxes that represent chairs, numbered 1 to 7. Seat 4 should be occupied ("The honored guest in the middle seat."). Six remain to be seated.
In chair 1, six people can sit here. In chair 2, five. In chair 3, four, and so on. So the number of seating arrangements is 6! Therefore, 720 different seating arrangements can be made.
Hope I helped!
In chair 1, six people can sit here. In chair 2, five. In chair 3, four, and so on. So the number of seating arrangements is 6! Therefore, 720 different seating arrangements can be made.
Hope I helped!