A connected planar graph having 6 vertices, and 7 edges contains _____, regions.a)3b)1c)11d)15

The number of regions in a connected planar graph can be calculated using Euler's formula, which states that:

V - E + F = 2

where V is the number of vertices, E is the number of edges, and F is the number of faces (regions).

Given that the graph has 6 vertices (V = 6) and 7 edges (E = 7), we can substitute these values into Euler's formula and solve for F:

6 - 7 + F = 2 F = 2 - 6 + 7 F = 3

So, a connected planar graph having 6 vertices and 7 edges contains 3 regions. Therefore, the answer is a) 3.