How many different ways can 5 Musicians, 2 Artists, and 3 Guitarists be seated in a row in the auditorium so that every one of the same profession sits together?
1230
1310
1440
1520
The 5 Musicians can be seated together in 5! ways.
The 2 Artists can be seated together in 2! Ways.
The 2 Guitarists can be seated together in 3! Ways.
Thus, the different ways can 5 Musicians, 2 Artists, and 3 Guitarists be seated in a row in the auditorium so that every one of the same profession sits together is,
Therefore, the number of ways is 1440 ways.
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