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

## The Five Tea Tins

(MISCELLANEOUS PUZZLES)

Sometimes people will speak of mere counting as one of the simplest operations in the world; but on occasions, as I shall show, it is far from easy. Sometimes the labour can be diminished by the use of little artifices; sometimes it is practically impossible to make the required enumeration without having a very clear head indeed. An ordinary child, buying twelve postage stamps, will almost instinctively say, when he sees there are four along one side and three along the other, "Four times three are twelve;" while his tiny brother will count them all in rows, "1, 2, 3, 4," etc. If the child's mother has occasion to add up the numbers 1, 2, 3, up to 50, she will most probably make a long addition sum of the fifty numbers; while her husband, more used to arithmetical operations, will see at a glance that by joining the numbers at the extremes there are 25 pairs of 51; therefore, 25×51=1,275. But his smart son of twenty may go one better and say, "Why multiply by 25? Just add two 0's to the 51 and divide by 4, and there you are!"

A tea merchant has five tin tea boxes of cubical shape, which he keeps on his counter in a row, as shown in our illustration. Every box has a picture on each of its six sides, so there are thirty pictures in all; but one picture on No. 1 is repeated on No. 4, and two other pictures on No. 4 are repeated on No. 3. There are, therefore, only twenty-seven different pictures. The owner always keeps No. 1 at one end of the row, and never allows Nos. 3 and 5 to be put side by side.

The tradesman's customer, having obtained this information, thinks it a good puzzle to work out in how many ways the boxes may be arranged on the counter so that the order of the five pictures in front shall never be twice alike. He found the making of the count a tough little nut. Can you work out the answer without getting your brain into a tangle? Of course, two similar pictures may be in a row, as it is all a question of their order.

Next: The Four Porkers

Previous: The Round Table

Report
Privacy

### Random Questions

Fifteen Letter Puzzle.
Combination and Group Problems
The Scientific Skater.
The Guarded Chessboard
The Table-top And Stools.
Various Dissection Puzzles
The Chalked Numbers
THE SQUIRE'S CHRISTMAS PUZZLE PARTY
The Wizard's Cats.
Various Dissection Puzzles
Immovable Pawns.
The Guarded Chessboard
The Bun Puzzle.
Various Dissection Puzzles
The Secret Lock
THE STRANGE ESCAPE OF THE KING'S JESTER
The Betsy Ross Puzzle.
Various Dissection Puzzles
Bridging The Ditch
THE SQUIRE'S CHRISTMAS PUZZLE PARTY
A Problem In Mosaics.
Chessboard Problems
The Stop-watch.
Money Puzzles
The Ambiguous Photograph