Extending the default subnet mask creates a counting range that can be used to represent subnetworks, allowing a single network to be subdivided. When the subnet mask is extended to 255.255.240.0, it supports 14 subnets using the 2n-2 formula. The number of addresses supported by each subnet is the address range, which is calculated by taking the decimal value of the last bit used in the subnet mask as the starting IP address for the first subnet.