Answer: There are 9216 different ways.
Step-by-step explanation:
Since we have given that
Number of couples = 4
Number of people in couples = 8
Number of seats on each floor = 4
Number of ways to select a person from each to send him (or her) to the upper deck would be
[tex]2^4=16\ ways[/tex]
Number of ways to select a person to send them to the bottom floor would be
[tex]4!=24[/tex]
Number of ways to select a person to send them to the upper floor would be :
[tex]4!=24\ ways[/tex]
So, the total number of different ways would be :
[tex]16\times 24\times 24=9216\ ways[/tex]
Hence, there are 9216 different ways.