A tea party is arranged for 18 people along two side of a long table with 9 chair on each side of four men with to sit on one practical side and three on the other side in how many ways can they seated
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Answer:
Step-by-step explanation:
There are 8 chair on each side of the table.
Let the sides be represented by A and B.
Let four persons sit on side A, then number of ways of arranging 4 persons on 8 chairs on side A=
8
P
4
And two persons sit on side B.
The number of ways of arranging 2 persons on 8 chairs on side B=
8
P
2
The remaining 10 persons can be arranged in remaining 10 chairs in 10! ways.
Hence, the total number of ways in which the persons can be arranged is
8
P
4
×
8
P
2
×10!=
4!6!
8!8!10!
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