Set Theory and Algebra MCQ

1:

A partial order is deined on the set

S = {x, a1, a2, a3,...... an, y}

as x ≤  a i for all i and ai     y for all i, where n  ≥ 1.

Number of total orders on the set S which contain partial order  ≤ is

A.

1

B.

n

C.

n + 2

D.

!

 

Answer : D

Explanation :

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Option: A

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