VIEW THE MOBILE VERSION of www.mathpuzzle.ca Informational Site Network Informational
Privacy
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search


A MATCH MYSTERY.





(Puzzle Games.)
Here is a little game that is childishly simple in its conditions. But
it is well worth investigation.
Mr. Stubbs pulled a small table between himself and his friend, Mr.
Wilson, and took a box of matches, from which he counted out thirty.
"Here are thirty matches," he said. "I divide them into three unequal
heaps. Let me see. We have 14, 11, and 5, as it happens. Now, the two
players draw alternately any number from any one heap, and he who draws
the last match loses the game. That's all! I will play with you, Wilson.
I have formed the heaps, so you have the first draw."
"As I can draw any number," Mr. Wilson said, "suppose I exhibit my usual
moderation and take all the 14 heap."
"That is the worst you could do, for it loses right away. I take 6 from
the 11, leaving two equal heaps of 5, and to leave two equal heaps is a
certain win (with the single exception of 1, 1), because whatever you do
in one heap I can repeat in the other. If you leave 4 in one heap, I
leave 4 in the other. If you then leave 2 in one heap, I leave 2 in the
other. If you leave only 1 in one heap, then I take all the other heap.
If you take all one heap, I take all but one in the other. No, you must
never leave two heaps, unless they are equal heaps and more than 1, 1.
Let's begin again."
"Very well, then," said Mr. Wilson. "I will take 6 from the 14, and
leave you 8, 11, 5."
Mr. Stubbs then left 8, 11, 3; Mr. Wilson, 8, 5, 3; Mr. Stubbs, 6, 5, 3;
Mr. Wilson,4, 5, 3; Mr. Stubbs, 4, 5, 1; Mr. Wilson, 4, 3, 1; Mr.
Stubbs, 2, 3, 1; Mr. Wilson, 2, 1, 1; which Mr. Stubbs reduced to 1, 1,
1.
"It is now quite clear that I must win," said Mr. Stubbs, because you
must take 1, and then I take 1, leaving you the last match. You never
had a chance. There are just thirteen different ways in which the
matches may be grouped at the start for a certain win. In fact, the
groups selected, 14, 11, 5, are a certain win, because for whatever your
opponent may play there is another winning group you can secure, and so
on and on down to the last match."


Read Answer






Next: THE MONTENEGRIN DICE GAME.

Previous: A WAR PUZZLE GAME.



Add to Informational Site Network
Report
Privacy
ADD TO EBOOK




Random Questions

The Troublesome Eight.
Magic Squares Problem.
Farmer Lawrence's Cornfields.
The Guarded Chessboard
A Wonderful Village.
Unclassified Problems.
The Christmas Geese
THE SQUIRE'S CHRISTMAS PUZZLE PARTY
Indiscriminate Charity.
Money Puzzles
The Cyclists' Feast.
Money Puzzles
The Dovetailed Block.
Unclassified Problems.
The Carpenter's Puzzle
CANTERBURY PUZZLES
A New Counter Puzzle.
The Guarded Chessboard
A Puzzling Legacy.
Money Puzzles
Counter Solitaire.
The Guarded Chessboard
Giving Change.
Money Puzzles
Those Fifteen Sheep.
Combination and Group Problems
The Six Frogs.
Moving Counter Problem
Pheasant-shooting.
Unclassified Problems.