in a dilemma
Synonym discussion
Sense: idiom/1
All three phrases describe difficult situations, but they differ in register and emphasis. 'In a dilemma' is the most neutral and widely used — it refers to a specific choice between two options, often where neither is ideal. 'In a quandary' is more formal and intellectual; it suggests puzzled uncertainty rather than a forced choice. 'Between a rock and a hard place' is informal and vivid, used when both options are clearly negative. 'In a bind' is also informal and can describe any kind of difficult situation, not just a two-option choice. For example: 'The board was in a dilemma about whether to raise prices or cut staff.' 'Her boss said she needed to work overtime every night — she was caught between a rock and a hard place.'
Etymology
From Greek 'di-' (two) + 'lemma' (premise or argument), literally meaning 'two propositions'. In ancient rhetoric, a dilemma was an argument that forced an opponent to choose between two equally unfavourable conclusions. The word entered English in the 16th century through Latin and gradually shifted from its formal logical meaning to the everyday sense of a difficult choice.