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Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Arrangement in a Ring.

The number of ways 5 persons PQRST seats in a ring so that P sits between Q and R is

- 104
- 4
- 1154
- none of these

Integers

Number of ways

Arrangements

But try the problem first...

Answer: 4.

Source

Suggested Reading

B.Stat Objective Problem 103

Challenges and Thrills of Pre-College Mathematics by University Press

First hint

here SQPRT, TQPRS, SRPQT, TRPQS

Second Hint

are 4 arrangements in 1 way (orderwise)

Final Step

number of ways =\(4 \times 1\)=4 ways.

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