There was a post earlier postulating that 4 engines would have resulted in happy outcome (apparently now deleted).
However, having four engines is no guarantee of a happy ending if you take out two with birds while taking off:
https://en.wikipedia.org/wiki/1995_A...entry_accident
The investigation concluded that the probable cause was the ingestion of Canada geese into No.1 and No.2 engine.
Off the top of my head, these are the only major jetliners I know of to go down due to a bird strike in the last 25 years...