What does this symbol denote?

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I saw this symbol: $\underline{\big|6} $ in a question bank for a chapter of permutations and combinations. I have included the question from the book to provide more context: image link.

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This an old symbol for the factorial of a number. It was mostly phased out by the early 1900s, but you can find it in most 1800s literature, especially mathematicians in Great Britain. A useful historical survey of various notations for factorial is given in

Florian Cajori, History of symbols for $\underline{n}=$ factorial, Isis 3 #3 (Summer 1921), 414-418.