The phrase "a crew complement" is correct and can be used in written English.
You could use it to describe a number of people who compose a working or task force, such as in the following example: "The aircraft was carrying a crew complement of seven people."
She had a regular crew complement of 122 officers and enlisted men.
It had a maximum crew complement of 26 sailors, and was in service hauling woodchips (used for paper pulp production).
The completion of the International Space Station (ISS), including the installation of experiment hardware and the presence of a regular crew complement, presents enormous opportunity to examine the longer term effects of spaceflight and microgravity on living systems.
Skylab and the Soviet Salyut and Mir space stations opened the way for orbital occupancy, but the shuttle's cargo capacity, flight frequency, and large crew complement made a continual, expanding human presence possible.
Her total crew complement varied, with a regular designed crew complement of 848, a wartime complement of 952, and a complement 1,229 when the cruiser was operating as a fleet flagship.
The total crew complement varied, with a regular designed crew complement of 807, a wartime complement of 952, which could increase to 1,229 when the cruiser was operating as a fleet flagship.
"It is right that cabin crew should be given the opportunity to consider this offer, although it falls short of what we believe is needed to address the legitimate concerns they have about crew complement and service delivery," Len McCluskey, Unite's assistant general secretary, said in a statement.
Her crew complement consisted of 58 officers and 1,022 men.
Her crew complement was reduced from 172 to 159.
