Randomly Assign People to Tasks
05AB1E, 7 bytes
Code:
.r².r)ø

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Following the input/output spec strictly (16 bytes):
.r².r)øvy`r?':?,

Explained:
.r                # radomize first input
  ².r             # randomize second input
     )ø           # merge the lists to an array of pairs cutting out extras
       vy`r?':?,  # format output

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