NRICH: 1 Step 2 Step
Liam’s house has a staircase with 12 steps.
He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
For example, he could go down 1 step, then 1 step, then 2 steps, then 2, 2, 1, 1, 1, 1.
In how many different ways can Liam go down the 12 steps, taking one or two steps at a time?
Age 11 to 14
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Resource k12
Liam’s house has a staircase with 12 steps.
He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
For example, he could go down 1 step, then 1 step, then 2 steps, then 2, 2, 1, 1, 1, 1.
In how many different ways can Liam go down the 12 steps, taking one or two steps at a time?
Age 11 to 14
Click here for a poster of this problem.
NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.
Do you enjoy thought-provoking questions? If so, this is the place for you.
What are you looking for?
Organization
Website URL
Type of Resource
PDF File
