Persons A,B,C,D & E are to be seated on a circular table. Number of ways they can be seated so that

Question

Persons A,B,C,D & E are to be seated on a circular table. Number of ways they can be seated so that exactly two from A,B & C are adjacent is equal to -

Accepted Answer

First select two persons from A,B,C who wish to sit together in ³C₂ ways say A,B are together
then C must occupy the sit in one way & D,E can sit at remaining seats in 2 ways.
⇒ Total ways = ³C₂ × 1 × 2
= 12 ways

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