is this question correct?

How much holiday had they?

Not quite.

How many holidays did they have?
or
How much vacation did they have?

It's correct, but not common.

In the U.K., it could be:

How much holiday did they have?

In the U.S., it could be:

How much vacation did they have?

To determine if the question, "How much holiday had they?" is correct, we can analyze the grammar and syntax.

The main part of the question is "How much holiday." This phrase is grammatically correct and implies that we are asking about the amount of holiday or vacation time.

The last part of the question, "had they," is structurally correct but lacks context. Without additional information, it is unclear who "they" refers to and what specific time period or situation we are asking about.

In summary, the question is grammatically correct, but it would be helpful to provide more context or details to make it clearer and answerable.