A family consists of a grandfather,6 sons and daughters and 5 gran | Filo
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Class 11

Math

Algebra

Permutations and Combinations

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A family consists of a grandfather, sons and daughters and grand children. They are to be seated in a row for dinner.The grand children wish to occupy two seats at each end and the grandfather refuses to have a grandchild on either side of him. In how many ways can the seating arrangements can be made for the dinner?

  1. 164$4
  2. 125$$
Correct Answer: Option(a)
Solution:

Seat number and at the ends 
are occpied by grand children 
Number of ways Ways 
Grandfather cannot occupy seat and seat
Number of ways of placing then  
Total number of ways of averaging 
 
Ways 
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