Arun wants to send invitation letter to his 7 friends. In how many ways can he send the invitation letter if he has 4 servants to carry the invitation letters

• The 1st friend can be invited by any of the 4 servants.
  
  Similarly each of the remaining 6 friends can be invited by any of the 4 servants
  
  Hence total number of ways = 47 = 16384
  
  (In this question, you do not want to waste time by expanding 47.
  We know that any power of 4 can only end with 4 or 6 . (Because 4 × 4 = 16, 6×4 = 24, ...)
  In the given choices, there is only one answer which is ending with 4 which is 16384.
  Hence, this must be the answer.
  You can refer the section 'numbers' for more information on this)
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