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

Class 11

Math

Algebra

Permutations and Combinations

560
150

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$4 2. 125$\$
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
560
150

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