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Card game III (Posted on 2014-03-04) Difficulty: 2 of 5
In a certain card game, one of the hands dealt contains:
  1. Exactly thirteen cards.
  2. At least one card in each suit.
  3. A different number of cards in each suit.
  4. A total of five hearts and diamonds.
  5. A total of six hearts and spades.
  6. Exactly two cards in the "trump" suit.
Which one of the four suits -- hearts, spades, diamonds, or clubs -- is the "trump" suit?

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Python solution | Comment 3 of 5 |

for h in range(1,7):
  hdsc = set([h, 5-h, 6-h, h+2])
  if len(hdsc) == 4 and 2 in hdsc:
    print 'H: %d D: %d S: %d C: %d' % (h, 5-h, 6-h, h+2)



This produces the answer

H: 4 D: 1 S: 2 C: 6

So Spades is the trump suit.

Edited on March 4, 2014, 11:08 am
  Posted by tomarken on 2014-03-04 10:56:28

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