SOLUTION: Eighteen guests have to be seated,half on each side of a long table.If four particular guests desire to sit on one particular side and three others on the other side,the number o

Question 31493: Eighteen guests have to be seated,half on each side of a long table.If four particular guests desire to sit on one
particular side and three others on the other side,the number of ways in which the sitting arrangement can be made is
A.11C5*9!*9!
B.11C6*8!*10!
C.11C5*8!*10!
D.None of the above
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
9 ARE TO BE ON 1 SIDE.4 ARE ALREADY ON ONE SIDE AND 3 ON OTHER SIDE.
THERE ARE 11 LEFT.
WE CAN SELECT 5 OF THEM IN 11C5 WAYS TO SIT ALONG WITH 4.
REST WILL AUTOMATICALLY GO TO OTHER SIDE.THIS CAN BE DONE IN ONLY 1 WAY .
NOW 9 ON EITHER SIDE CAN BE ARRANGED IN 9! WAYS...SO THE TOTAL NUMBER OF ARRANGEMENTS ARE
11C5*9!*9!.....A IS THE ANSWER
RELATED QUESTIONS
8 guests have to be seated 4 on each side of a long rectangular table. 2 particular... (answered by stanbon)

Eight guests have to be seated 4 on each sides of a long rectangular table 2 particular... (answered by addingup)

seven guests are invited to dinner. How many ways can they be seated at a dinner table if (answered by jim_thompson5910)

a tea party is arranged for 16 people along two sides of a long table with eight chairs... (answered by ikleyn)

seven people are to be seated at the head table celebrating a 50th wedding anniversary.... (answered by VFBundy)

The same number of guests are seated at each of 11 large tables. There are 4 guests... (answered by Edwin McCravy)

Twelve guests are to be seated for dinner, six of them have already chosen to sit in a... (answered by ikleyn)

Twelve persons are to sit at a round table. Two particular people insist on sitting... (answered by josmiceli)

I will have four guests for bridge, for a total of five players. We play four hands and... (answered by solver91311)