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Answer:
376320.
Step-by-step explanation:
Given:
There are two sets of twins in a family.
Total family member = 9
Solution:
Let family members = AA BB C D E F G
<u>AA and BB are two set of twins .</u>
First of we will find the arrangements of 5 family member ( 9 - 4 = 5 )
No of ways 5 family member can seat =
Now, we will find the arrangements of BB.
As given that nobody is sitting next to their twin, means A twins cannot seat together.
Therefore, they can seat in these blank places given below:
......B.......B......C......... D...... E........ F........ G.......... in
Similarly, B twins cannot seat together.
Therefore, they can seat in these blank places given below:
......A.......A......C......... D...... E........ F........ G.......... in
Total number of arrangements of all family members =
Therefore, Total number of arrangements of all family members is 376320.