There are precisely 4 face down cards containing all 4 suits and the values: Ace, King, Queen and Jack.
It is known that:
- The Ace is to the right of the Spade.
- The Diamond is to the left of the Queen.
- The Club is to the right of the Queen.
- The Heart is to the left of the Jack.
- The Spade is to the right of the Jack.
Identify these four cards.
*** Adapted from a problem by Charles Barry Townsend.
Solution: Kh Jd Qs Ac
Translate each sentence into symbolic format:
s A
d Q
Q c
h J
J s
Align like terms
h J s A
d Q c
In the second line, the gap could go 1 of 4 places
h J s A
d Q c
h J s A
d Q c
h J s A
d Q c
h J s A
d Q c
... however all but the first have a suit conflict for the 1st card
So:
h J s A
d Q c
Put the K in the gap and you get the solution:
Kh Jd Qs Ac
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Posted by Larry
on 2022-06-12 09:35:21 |
Solution
