Index Of Fun

Today's Puzzles

1. 1.    Sudoku

2. 2.    Wonder Word

3. 3.    Daily Crazy Quiz

4. 4.    Brain Teaser Contest

5. 5.    Themed Crossword

6. 6.    Word Jumble

7. 7.    Cryptogram

8. 8.    Kakuro

9. 9.    Word Search

10. 10.  Word Crunch

11. 11.  Word Square Puzzle

12. 12.  JigSaw

13. 13.  Anything Puzzles

14. 14.  All Our Daily Puzzles

Puzzle Zone Navagation

What's New?
Topic Of The Day
Interactive Puzzles
IQ Tests and Quizzes
Daily Videos
Jigsaw Puzzles
Word Puzzles
Sudoku Zone
Maze Zone
Mahjong Zone
"GRY" Puzzle
Trivia Zone
Daily Education
Ultimate IQ Test
Brain Bashers

    Our Fun Sites

A Fun Zone
A Puzzle Zone
A Game Zone
Top 100 Game Sites
Puzzle Store
Brain Teaser Archives
Fun Game Sites
A Free Zone

Daily Brain Teaser / Puzzle
April 06, 2007
Previous Days Teaser -- Want More? -- Next

The numbers on a die are not placed at random. On every pair of opposite faces the sum of the numbers is 7: 6 is op­posed to 1, 5 to 2, and 3 to 4. There are several other ways of placing six numbers on a die. How many ways are there altogether?

VIEW SOLUTION BELOW

If you see this, you may need to update your browser.

THE SOLUTION

We can place the number 1 anywhere. Then there are five ways of choosing the number which will be opposite the 1. Imagine that the 1 and its opposite are on the top and bottom of the die. We still have to place the four remaining numbers on the four remaining faces around the die. Let X be one of these numbers. There are three ways of choosing its opposite number. Then there are two ways of placing the last two numbers. The total number of ways is: 5 x 3 x 2 = 30. None of these 30 dice can be turned into one of the others by rotating it in any direction.