The largest and maximal elements

In the following cases decide, whether exists a partial oder satisfying the given condition. If so, show an example.

Variant
Without the largest element, but with a maximal element; on a nonempty finite set.
Answer
Such partial oder exists, e.g. . \((\{1{,}2,…,10\},|)\).
Variant
Without the largest element, and without the smallest element; on a nonempty finite set.
Answer
Such partial order exists, e.g. \((\{2{,}3,…,10\},|)\).
Variant
Without the largest element, and without the maximal element; on a nonempty finite set.
Answer
Each finite partial order has a maximal element, hence such cannot exist.
Variant
Without the largest element, but with a maximal element; on an infinite set.
Answer
Such order exists, e.g. \((\{1{,}2,…,\},=)\). Here every element is maximal.
Variant
Without the largest element, and without maximal element; on an infinite set.
Answer
Such order exists, e.g. \((\{1{,}2,3,…\},|)\).
Variant
Without infinite chain, on an infinite set.
Answer
Such oder exists, e.g. \((\{1{,}2,…,\},=)\). Here every chain is of length 1.