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Question
A tea party is arranged for 16 persons along two sides of a long table with 8 chairs on each side. Four persons wish to sit on one particular side and two on the other side. In how many ways can they be seated?
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Solution
A tea party is arranged for 16 people along two sides of a long table with 8 chairs on each side.
4 people wish to sit on side \[A\] (say) and two on side
Now, 10 people are left, out of which 4 people can be selected for side \[A\] in 10C4 ways.
And, from the remaining people, 6 people can be selected for side B in 6C6 ways.
∴ Number of selections = \[{}^{10} C_4 \times {}^6 C_6\]
∴ Total number ways in which the people can be seated =
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