4. [3 marks) let s = {a, b,c}. find the number of partial orders on s.

8

Step-by-step explanation:

Partial order of a set:A relation R on set A is called partial order if it is reflexive,anti-symmetric and transitive.The set together with partial order R is called partial ordered set.

Partial order is the collection of subsets of set A.

A=P(S)

Power set of S=P(S)={,{a},{b},{c},{a,b},{b,c},{a,c},{a,b,c}}

Partial order on S =P(S)=

Partial order=8

Hence, the partial order on S=8

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step-by-step explanation: