The branch subnets must each support up to 200 hosts, so /120 is the correct IPv6 prefix length from the available options. A /120 provides 256 IPv6 addresses, which satisfies the 200-host requirement. A /121 provides only 128 addresses, which is not enough. The parent block is 2a01:0c30:0016:7009::3800/118. A
/118 has 10 host bits, so it contains 1024 addresses and spans from ::3800 through ::3bff. The valid /120 boundaries inside that parent are ::3800/120, ::3900/120, ::3a00/120, and ::3b00/120. From the listed choices,
2a01:0c30:0016:7009::3a00/120 and 2a01:0c30:0016:7009::3b00/120 both fall inside the parent allocation and provide enough address capacity. The /121 options are too small, and ::3c00/120 is outside the /118 parent range. This is a straightforward IPv6 prefix-boundary and capacity calculation. Reference topics: IPv6 subnetting, prefix length, address block boundaries, branch address planning.