.2

cqu_6006+SOURCE3+SOURCE3.2 (23.4 kB)

.3

cqu_6006+SOURCE3+SOURCE3.3 (23.4 kB)

DOCUMENT

cqu_6006+SOURCE1+SOURCE1.3.pdf (158.63 kB)

1/0

# Ways of stepping one two or three stairs up a stairway

online resource

posted on 2017-12-06, 00:00 authored by Noel PatsonFor a person who can climb stairs either one, two, or three stairs at a time there are many ways of climbing a stairway with stairs. For a stairway consisting of four stairs, there are the following seven ways: {{1,1,1,1}, {1,1,2}, {1,2,1}, {2,1,1}, {2,2}, {1,3}, {3,1}}. This Demonstration shows the combinations and counts the permutations of these combinations for stairways of different lengths. It also shows a simpler way of finding the number of different ways of climbing the stairways using the Tribonacci series.

## Funding

### Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

## History

## Publisher

Wolfram Mathematica## Open Access

- No

## Era Eligible

- Yes