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A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph with 3 edges and 3 points. The degree of a point is the number of edges connected to it. For example, a triangle is agraph with three points of degree 2 each. Consider a graph with 12 points. It is possible to reach any point from any other point through a sequence of edges. The number of edges "e" in the graph must satisfy the condition
  • a)
    11≤ e ≤66
  • b)
    10≤ e ≤66
  • c)
    11≤ e ≤65
  • d)
    0≤ e ≤11
Correct answer is option 'A'. Can you explain this answer?
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In this graph can vary depending on the specific connections between the points. However, we can determine the minimum number of edges in this graph by considering a fully connected graph.

In a fully connected graph with n points, each point is connected to every other point. So, in this case, each of the 12 points would be connected to the other 11 points.

To calculate the number of edges in a fully connected graph, we can use the formula:

Number of edges = (n * (n-1)) / 2

Plugging in n = 12:

Number of edges = (12 * 11) / 2
= 132 / 2
= 66

Therefore, in a fully connected graph with 12 points, there would be a minimum of 66 edges.
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A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph with 3 edges and 3 points. The degree of a point is the number of edges connected to it. For example, a triangle is agraph with three points of degree 2 each. Consider a graph with 12 points. It is possible to reach any point from any other point through a sequence of edges. The number of edges "e" in the graph must satisfy the conditiona)11≤ e ≤66b)10≤ e ≤66c)11≤ e ≤65d)0≤ e ≤11Correct answer is option 'A'. Can you explain this answer?
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A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph with 3 edges and 3 points. The degree of a point is the number of edges connected to it. For example, a triangle is agraph with three points of degree 2 each. Consider a graph with 12 points. It is possible to reach any point from any other point through a sequence of edges. The number of edges "e" in the graph must satisfy the conditiona)11≤ e ≤66b)10≤ e ≤66c)11≤ e ≤65d)0≤ e ≤11Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph with 3 edges and 3 points. The degree of a point is the number of edges connected to it. For example, a triangle is agraph with three points of degree 2 each. Consider a graph with 12 points. It is possible to reach any point from any other point through a sequence of edges. The number of edges "e" in the graph must satisfy the conditiona)11≤ e ≤66b)10≤ e ≤66c)11≤ e ≤65d)0≤ e ≤11Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph with 3 edges and 3 points. The degree of a point is the number of edges connected to it. For example, a triangle is agraph with three points of degree 2 each. Consider a graph with 12 points. It is possible to reach any point from any other point through a sequence of edges. The number of edges "e" in the graph must satisfy the conditiona)11≤ e ≤66b)10≤ e ≤66c)11≤ e ≤65d)0≤ e ≤11Correct answer is option 'A'. Can you explain this answer?.
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