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What is the maximum number of edges present in a simple directed graph with 7 vertices if there exists no cycles in the graph?

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What is the maximum number of edges present in a simple directed graph with 7 vertices if there exists no cycles in the graph?

(a) 21

(b) 7

(c) 6

(d) 49

My doubt stems from Directed Graph topic in chapter Graph of Data Structures & Algorithms I

This question was posed to me in quiz.

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Best answer
The correct choice is (c) 6

For explanation: If the no cycles exists then the difference between the number of vertices and edges is 1.

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