Answer:
1440 different arrangements are possible.
Step-by-step explanation:
Number of arrangements of n elements:
The number of arrangements of n elements is given by:

In this question:
6 couples, in which each can be positioned in 2 ways(him/her or her/him). So

1440 different arrangements are possible.
We can see both terms have a (x-2) in them.
We can also see that 8 and 2 are both even so there is a 2 in common.
This means that the gcd or hcf or whatever you call it is 2(x-2)
**Just mentioning most of the time we call it the GCD(greatest common divisor) or the GCF(greatest common factor) and almost never uses hcf :)
Answer:
d
Step-by-step explanation:
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correct ans is D
Could you type them out of provide a different image? This one is difficult to read but I will gladly help you