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Permutations And Combinations
Question
In how many ways can 5 persons be seated around a round table so that two of them must always be together?
Solution
Tie the two
Number of arrangements = ![]()
Mix with remaining
Now, we have 3 + 1 = 4 persons to sit around a round table.
The number of permutations = (4 - 1)! = 3! = 6
Hence, the total number of arrangments when the two persons sit together
= 2 x 6 = 12
Some More Questions From Permutations and Combinations Chapter
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