Math miscellaneousHard
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 -
Options
A.6
B.8
C.12
D.24
Solution
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
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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