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 GLASS BALLS.





(Combination and Group Problems)
A number of clever marksmen were staying at a country house, and the
host, to provide a little amusement, suspended strings of glass balls,
as shown in the illustration, to be fired at. After they had all put
their skill to a sufficient test, somebody asked the following question:
"What is the total number of different ways in which these sixteen balls
may be broken, if we must always break the lowest ball that remains on
any string?" Thus, one way would be to break all the four balls on each
string in succession, taking the strings from left to right. Another
would be to break all the fourth balls on the four strings first, then
break the three remaining on the first string, then take the balls on
the three other strings alternately from right to left, and so on. There
is such a vast number of different ways (since every little variation of
order makes a different way) that one is apt to be at first impressed by
the great difficulty of the problem. Yet it is really quite simple when
once you have hit on the proper method of attacking it. How many
different ways are there?


Read Answer






Next: FIFTEEN LETTER PUZZLE.

Previous: THREE MEN IN A BOAT.



Add to del.icio.us Add to Reddit Add to Digg Add to Del.icio.us Add to Google Add to Twitter Add to Stumble Upon
Add to Informational Site Network
Report
Privacy
SHAREADD TO EBOOK




Random Questions

The "t" Card Puzzle.
Problems Concerning Games.
The Postage Stamps Puzzles
THE PROFESSOR'S PUZZLES
The Grand Lama's Problem.
Chessboard Problems
Inspecting A Mine.
Unicursal and Route Problems
The Riddle Of The Tiled Hearth
THE MERRY MONKS OF RIDDLEWELL
The Horse-race Puzzle.
Problems Concerning Games.
Indiscriminate Charity.
Money Puzzles
Defective Observation.
Money Puzzles
Robinson Crusoe's Table
MISCELLANEOUS PUZZLES
The Game Of Kayles
MISCELLANEOUS PUZZLES
The Spider And The Fly
MISCELLANEOUS PUZZLES
A Calendar Puzzle.
Unclassified Problems.
A Packing Puzzle.
Measuring, Weight, and Packing Puzzles.
Jack And The Beanstalk.
Unclassified Problems.
The Beanfeast Puzzle.
Money Puzzles