Let $\mathcal{F}$ be the set of all functions from $\{1, \dots, n\}$ to $\{0,1\}$. Define the binary relation $\preccurlyeq$ on $\mathcal{F}$ as follows: $\forall f, g \in \mathcal{F}, \ f \preccurlyeq g$ if and only if $\forall x \in \{1, \dots, n\}, f(x) \le g(x)$, where $0 \le 1$. Which of the following statement(s) is/are TRUE?

Let F be the set of all functions from \1, , n\ to \0,1\. Define the binary relation on F as follows: f, g F, \ f g if and only if x \1, , n\, f(x) g(x), where 0 1. Which of the following statement(s) is/are TRUE?

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