Youth A, B, C, D and E from a village applied for employment in a housing maintenance company  According to their respective expertise, five of them were employed as welders, bricklayers, electricians, carpenters and plumbers
It is known that each of them does only one type of work, and one of their five people does each type of work, and it is also known that: (1) if A works as a welder, C works as a carpenter; (2) if one of B and D works as a plumber, then A works as a welder; (3) C or works as a bricklayer, or an electrician
A works as a plumber.