Q:
      
      
         
            
From a deck of 52 cards, a 7 card hand is dealt.How many distinct hands are there if the hand must contain 2 spades and 3 diamonds ?
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: A) 7250100         
         
Explanation: There are 13 spades,we must include 2: 13
 
There are 13 diamonds,we must include 3: 
 
Since we can't have more than 2 spades and 3 diamonds,the remaining 2 cards must be pulled out from the 26 remaining clubs and hearts : 
 
Therefore, = 7250100
       
      
      
      
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