KCET2010MathematicsBasics of Mathematics
A simple graph contains 24 edges. Degree of each vertex is 3 . The number of vertices is
Options
- A8
- B12
- C21
- 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