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Let G be the graph defined as the Hasse diagram for the ⊆ relation on the set S{1, 2,…, 18}. How many edges are there in G?

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Let G be the graph defined as the Hasse diagram for the ⊆ relation on the set S{1, 2,…, 18}. How many edges are there in G?

(a) 43722

(b) 2359296

(c) 6487535

(d) 131963

The question was asked by my school teacher while I was bunking the class.

My query is from Graphs in chapter Graphs of Discrete Mathematics

1 Answer

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The correct choice is (b) 2359296

Easy explanation: Here the total number of elements in S is 18 and so number of vertices in Hasse diagram are 2^18. Hence, the number of edges in Hasse diagram are 18 * 2^18-1=2359296.

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