Can this modified BLEU score problem be solved greedily?

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Given:
1. A list of strings
2. A reference string
3. x where x is an int

Pick out x strings from 1 to get the candidate string such that the BLEU score with the reference string is as high as possible.

I know the naive solution will be to get all possible x length strings and then calculate the BLEU score for all of them and choose the best one.

I wonder if I can do this greedily?

For a greedy algorithm, we need to prove two properties: 1) Greedy Choice property and 2) Optimal Substructure. I however, have not been able to prove or disprove it so far.

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