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GATE | GATE CS 1997 | Question 41

A partial order ≤ is defined on the set S= {x, a1, a2,.....an, y} as x < ai for all i and ai ≤ y for all i, where n≥1. The number of total orders on the set S which contain the partial order ≤ is

(A)

n!

(B)

n+2

(C)

n

(D)

1

Answer

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