Permutations and Combinations

3.2 The Stocking Property

Lesson materials located below the video overview.

This grid of numbers possesses a number of curious properties. The first of them we’ll address here.

 

Start at any “1” on the top row, head down any number of cells, and then turn right for one cell to create a stocking. The number in the toe of the stocking always equals the sum of the numbers in the leg of the stocking.

 P22001

 

There is a horizontal version of this stocking property also.

 

Exercise 32: Explain why the stocking property works. HINT: Use the fact that the number in the toe is really the sum of two other numbers in the grid.

 

The answer appears in the COMPANION GUIDE to this Permutations and Combinations course.

 

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