How many ways are there to seat five people around a circular table, where seati

Question

How many ways are there to seat five people around a circular table, where seating's are considered to be the same if they can be obtained from each other by rotating the table? Each letter (A-Z) is represented in Morse code by a sequence of signals (dots or dashes). Show that each letter can be assigned its own sequence of less than equal to 4 signals. You shouldn't have to look up Morse code to answer this question. How many different last columns occur among all the truth tables with propositional variables p. q. r, s? (In other words. how many equivalence classes are there mider the relation of logical equivalence?) The answer Is not 16.

Explanation / Answer

5)

The number of ways of arranging 5 people around circular table is = (5-1)! = 24

But as the seating is considered same if they can be obtained from each other by rotating the table, then the required number of ways of arrangement = 24/2 = 12.

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