a family consists of a grandfather , 5 sons and 8 grandchildren. they r to be seated in a row for a dinner. the grandchildren wish to occupy the four seats at each end of the row and the grandfather refuses to have a grandchild besides him. In how many ways can the family be made to sit ?

 

my solution.............

total no of seats = 14

 

8 grandchildren can be made to seat in 8! ways .

grand father can be made to sit in 5 - 1 ways.......

and the remaing seat can be filled in 5! ways.

so total  = 8! * 4 * 5!

 

but ans is 4! * 4 * 5!     plzzz help out....................

 

-------------------------------------------------------------------------------------------------------------------

 

in how many ways can a mixed doubels game of tennis can be arranged from 5 married couples, if no husband and wife play in the same game?

 

my solution..........

 

let two teams be A n B

for team A 5 husbands can be selected in 5 ways and 4 wifes can be selected in 4 ways........

for team B 4 husbands can be selected in 4 ways n 3 wifes can be selected in 3ways

so total ways is 5*4*4*3 = 240

but answer in 60

plzzzzz guys help out...........