find the number of ways in which a pack of 52 cards can be divided into 4 sets ,three of them having 17 cards and the fourth just one card?


here the answer i 52!/(17!*17!*17!*3!)
plz explain from where 3! has come?

• the all three sets can be selected randomly that why 3! is used.i.e....
  1 2 3
  2 1 3
  3 1 3..etc(3 more combinations
  )
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• plz explain
  
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• but here we have divided 52 cards into 4 parts, 3 of which are having 17 cards each and the fourth one is having 1 card.so to arrange these 4 parts we should have 4! ways..
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• 52c17*35c17*18c17*1*(1/3!)
  bcoz 1st three sets can be interchanged in 3! ways
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