A. provides direct internet access to the private subnet, which is not desired in this case as the goal is to restrict outbound internet access.
B. allows the EC2 in the private subnet to access the internet through the NAT gateway, which acts as a proxy. It provides controlled outbound internet access while maintaining the security of the private subnet.
C. is similar to using a NAT gateway, but it involves using a NAT instance. NAT instances require more manual configuration and management compared to NAT gateways, making them a less preferred option.
D. combines the use of an internet gateway and a NAT instance, which is not necessary. It introduces unnecessary complexity and adds a NAT instance that requires additional management.
Overall, option B is the most appropriate solution as it utilizes a NAT gateway placed in a public subnet to enable controlled outbound internet access for the EC2 instance in the private subnet.
NAT Gateways are preferred over NAT Instances by AWS and in general.