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if he has to invite all of his friends and servants can be repeated for sending multiple invitations then it will be  $4^{6}$

as first friend (F1) can be visited by any of 4 servants. =. 4 ways

as second friend (F2) can be visited by any of 4 servants. =. 4 ways

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as sixth friend (F6) can be visited by any of 4 servants. =. 4 ways

so total number of ways are :  $4^{6}$

 

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