Hobson's choice

Hobson's choice (a choice without an alternative; no choice at all --the thing offered or nothing) — безальтернативный выбор; выбор без выбора, отсутствие выбора; принудительный ассортимент

face/be faced with a Hobson's choice (accept what is offered or you get nothing; tight spot) — не иметь выбора; выбирать не из чего; выбора нет

Example 1: When we asked the receptionist for a double room she told us that they were fully booked and we could only have a single room... we were given Hobson’s choice.

Example 2: In 1914 Henry Ford offered customers of the Model T a famous Hobson's choice, making it available in "any color so long as it is black".

see
[there's small choice in rotten apples]
[pick and choose]

opp
[богатый выбор]
[глаза разбегаются]

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Hobson's choice is said to have had its origin in the name of one Thomas Hobson (1544-1631), at Cambridge, England, who kept a livery stable. He had, in his stables, a large choice of horses but, as the story goes, Hobson would only rent out to his customers - mainly Cambridge University students - either the horse nearest the stable door or none at all. The choice his customers were given was 'this or none', i.e. 'Hobson's choice'. 'You can have a white horse or ... a white horse! That's Hobson's choice!'