Q.

A partial order ≤ is defined on the set S = {x, b1, b2, … bn, y} as x ≤ bi for all i and bi ≤ y for all i, where n ≥ 1. The number of total orders on the set S which contain the partial order ≤ is              

A. n+4
B. n2
C. n!
D. 3
Answer» C. n!
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