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


THE WRONG HATS.





(Combination and Group Problems)
"One of the most perplexing things I have come across lately," said Mr.
Wilson, "is this. Eight men had been dining not wisely but too well at a
certain London restaurant. They were the last to leave, but not one man
was in a condition to identify his own hat. Now, considering that they
took their hats at random, what are the chances that every man took a
hat that did not belong to him?"
"The first thing," said Mr. Waterson, "is to see in how many different
ways the eight hats could be taken."
"That is quite easy," Mr. Stubbs explained. "Multiply together the
numbers, 1, 2, 3, 4, 5, 6, 7, and 8. Let me see--half a minute--yes;
there are 40,320 different ways."
"Now all you've got to do is to see in how many of these cases no man
has his own hat," said Mr. Waterson.
"Thank you, I'm not taking any," said Mr. Packhurst. "I don't envy the
man who attempts the task of writing out all those forty-thousand-odd
cases and then picking out the ones he wants."
They all agreed that life is not long enough for that sort of amusement;
and as nobody saw any other way of getting at the answer, the matter was
postponed indefinitely. Can you solve the puzzle?


Read Answer






Next: THE PEAL OF BELLS.

Previous: A TENNIS TOURNAMENT.



Add to Informational Site Network
Report
Privacy
ADD TO EBOOK




Random Questions

The Antiquary's Chain.
Combination and Group Problems
Linoleum Cutting.
Patchwork Puzzles
The Primrose Puzzle
MISCELLANEOUS PUZZLES
The Level Puzzle.
Unicursal and Route Problems
The Haberdasher's Puzzle
CANTERBURY PUZZLES
The Coinage Puzzle
THE PROFESSOR'S PUZZLES
The Banner Puzzle.
Patchwork Puzzles
How To Make Cisterns.
Patchwork Puzzles
A Fence Problem.
Money Puzzles
The Artillerymen's Dilemma.
Money Puzzles
A Bank Holiday Puzzle.
Unicursal and Route Problems
The Mysterious Rope
THE STRANGE ESCAPE OF THE KING'S JESTER
The Motor-garage Puzzle.
Moving Counter Problem
The Donjon Keep Window
PUZZLING TIMES AT SOLVAMHALL CASTLE
Chaucer's Puzzle
CANTERBURY PUZZLES