All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Card game III (Posted on 2014-03-04)
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 | Comment 4 of 5 |

From 4: hearts and diamonds could be 1 and 4 or 2 and 3, in either order.
From 5: The six that are hearts+spades could be 5+1 or 4+2

The number of hearts could therefore be 1, 4 or 2

Table based on number of hearts:

`hearts  diamonds  spades clubs  1        4        5      3  4        1        2      6  2        3        4      4  (bad: duplicate number)`

The only valid line with a 2 is the middle row.

 Posted by Charlie on 2014-03-04 12:05:31

 Search: Search body:
Forums (44)