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Everyone will find answers here! But, to answer the question. Series pump = higher head / same flow-rate. Parallel pump = same head / higher flow-rate. Multistage pumps can achieve a combination of this. Large split-case pumps are used for more flow, but less head. Single stage centrifugal pumps are used for a higher head, but a lower flow-rate. This also applies to vertical pumps. It is a trade off of one for the other.
It is all depend on application . if the application required a high pressure ( such as pressure used in R.O. plants) then you need to use a booster pump which is connected in series to a high pressure pump. In case of applications that require a flow rate that can't be achieve by single pump, you need to use pumps connected in parallel.
It dependes up on the application you need
you need pressure or flow rate if you need to raise pressure then you have to connect them in series as the delivered pressure from the first one will be the suction pressure to the second
if you want to more flow rate then you have to connect them in parallel then the sum flow rate will be the sum of each pump flow rate
