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A tea party is arranged for 2m people along two sides of a long table with m chairs on each side, r men wish to sit on one particular side and s on the other. IN how many ways can they be seates ? `[r,s,lem]`A. `24 xx 8! xx 8!`B. `(81)^(3)`C. `210 xx 8! xx 8!`D. `16!`

Answer» Correct Answer - C
Number of ways `= (8!9!)/(4!6!) xx 10!`
`=(8!)^(2) xx (10!)/(4!6!)`
`= (8!)^(2) xx (10 xx 9 xx 8 xx 7)/(4!)`
`= (8!)^(2) xx (10 xx 9 xx 8 xx 7)/(4 xx 3 xx 2 xx1)`
`= (210) xx (8!)^(2)`


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