In order to use a cable free mouse and keyboard I have the choice of
Wireless or Bluetooth.

Can anyone explain the advantages of one over the other?

Wireless is presumably some random manufacturers standard, which will require a receiver unit plugged into your Mac. Bluetooth will not require the receiver unit if your Mac already has built in BlueTooth.

Have fun,
Shay
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=========================== Shay  Telfer ================================
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 http://public.xdi.org/=Shay    fnord     <http://sungroper.asn.au/>