A Combination Book

Material Required: Eight sheets of paper.

This is a picture book containing eight pictures of different animals. Each page is cut into three parts, exactly dividing each picture of an animal into the head, body and feet. The book can be prepared by carefully drawing the pictures given here. The pages can then be stapled together such that the dotted lines in each page are aligned. All the pages can then be cut into three parts along the dotted line.

Now heads, bodies and feet from different animals can be combined to form delightful pictures of strange animals. How many pictures are possible in all? (By keeping a head and a body constant and varying the feet, one can obtain 8 pictures. Now by keeping the head constant and varying the body and the feet, one obtains 8<math>\times</math>8=64 pictures. By also varying the head one obtains a total of 512 pictures.)