Find the number of ways in which 5 people A,B,C,D and E can be seated at a
round table such that,
a) A and B must always sit together
b) C and D must not sit together
Answers
12 Ways A and B must always sit together or C and D must not sit together
Step-by-step explanation:
a)A and B must always sit together
taking ( A & B) as 1
so total = 4
4 can be seated on round table in (4 - 1) = 3! = 6 ways
A & B can be seated in 2 Ways
Total ways = 6 * 2 = 12
12 Ways A,B,C,D and E can be seated at a round table such that A and B must always sit together
b) C and D must not sit together
Total ways 5 people can sit on circular table = 4! = 24 Ways
12 Ways if C&D are together
C and D must not sit together = 24 - 12 = 12 Ways
12 Ways A,B,C,D and E can be seated at a round table such that C and D must not sit together
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