First slide

Permutations

Question

12 persons are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is

Easy

A

10
B

11
C

54
D

48

Solution

Total no of combination $=^{12} c_{2}$
No of ways of selecting 2 persons which are adjacent to each other $= 12$

$=^{12} c_{2} - 12 = 54$

. Number of ways of selecting 2 persons not adjacent to each other is 54

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