Determine Whether the Argument in the Problem Below Is Valid

Multiple Choice

Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning. ​
All mathematicians are clever men.
All clever men are rich.
Therefore, all mathematicians are rich.
​

A) invalid; direct
B) valid; indirect
C) valid; direct
D) invalid; false chain
E) valid; transitive