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KCET2010MathematicsBasics of Mathematics

A simple graph contains 24 edges. Degree of each vertex is 3 . The number of vertices is

Options

  1. A8
  2. B12
  3. C21
  4. D16

Correct answer

D. 16

Step-by-step solution

Let the number of vertices = n Given degree of each vertex =3 Then, total degree of simple graph =3 n We know that, aligned & sum of all degree of simple graph & aligned &=2 number of edges in simple graph & n =2 (24) n &=2 8 n &=16 aligned aligned

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