Maths-
General
Easy

Question

Two different packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards so that he does not get two cards of the same suit and same denomination is-

  1. 52 C26. 226    
  2. 104C26    
  3. 2.52C 26    
  4. None of these    

Hint:

Two different packs of 52 cards are shuffled together. So take all the identical cards together and don't count them repeatedly.

The correct answer is: 52 C26. 226


    First of all staple identical cards and select 26 cards C presuperscript 52 subscript 26 ---(1)
    But each of the 26 cards can be selected in 2 ways (belonging to either of the two packs)
    These number of ways are 2 to the power of 26---(2)
    Hence, required number of ways of selection C presuperscript 52 subscript 26 × 2 to the power of 26

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