No-win scenario
A no-win scenario or no-win situation was a situation in which every possible outcome was undesirable.

In the 2250s, acting captain Saru of the  gave a speech to his crew, after discovering the betrayal of Captain , in which he told them that they would not accept a no-win scenario. Sylvia Tilly and Paul Stamets later repeated Saru's words. ()

The  was one example of such a quandary, though James T. Kirk, as well as his , said he didn't believe there was such a thing. (; )

While taking the bridge officer's test in 2370, Deanna Troi was initially frustrated by the engineering qualification, which involved ordering a crew member to their certain death. Before ultimately passing the test, she asked William T. Riker if there was an solution to the problem, or if it was testing her ability to handle a no-win situation. ()

In 2371, after their "starship" was shot down, Kenneth Dalby described the circumstances in a simulation he and several other former Maquis were undertaking as a no-win situation, feeling there was nothing else they could have done rather than go out in a blaze of glory. Tuvok, their instructor, disagreed, suggesting ing was a viable option. ()

External link 
 
Philosophy