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Step 2: Place the 2 moths (M) in non-adjacent positions.
In a sequence of 5 non-moths, there are 6 possible gaps (including ends) where moths can be inserted:
We must choose 2 distinct gaps such that they are not adjacent — but since were placing one moth per gap, any two distinct gaps ensure non-adjacency. So number of ways to choose 2 non-adjacent positions from 6 gaps is:

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