State whether each of the following relations is a partial ordering, and explain why or why not.

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State whether each of the following relations is a partial ordering, and explain why or why not.

(a) "isFatherOf" on the set of people.

(b) "isAncestorOf" on the set of people.

(c) "isOlderThan" on the set of people.

(d) "isSisterOf" on the set of people.

(e) {(a,b),(a,a),(b,a)}{(a,b),(a,a),(b,a)} on the set {a,b}{a,b}.

(f). {2,1},{1,3},{2,3}) on the set {1,2,3}.

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