Need solution for permutation combination problem in java

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If a child is climbing a stair case with “n” steps, find the maximum number of possibilities (how many different ways he can climb the stair case)

What I have tried:

I spend some time on the above problem, but don't know how to proceed ?

Posted 7-Mar-20 3:11am

Member 14766121

Updated 7-Mar-20 9:38am

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PIEBALDconsult 9-Dec-20 19:02pm

That's neither permutations nor combinations, because those don't allow duplication.

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Patrice T · Answer 1 · 2020-03-07T09:38:00

Solution 2

Quote:
I spend some time on the above problem, but don't know how to proceed ?

The first step is to figure out the maths.
For 1 step, answer is 1 because {1}
For 2 step, answer is 2 because {1,1}, {2}
For 3 step, answer is 4 because {1,1,1}, {1,2}, {2,1}, {3}
...
There you find a formula or you find a way to enumerate all possibilities and count them.
At this point, you should have a pretty good idea of how to program it.

Posted 7-Mar-20 9:38am

Patrice T

Comments

Richard Deeming 9-Mar-20 17:17pm

Of course, this assumes the child has infinitely long legs. :)

Patrice T 9-Mar-20 18:57pm

Yes :)
Quite a neck breaker after 4 steps.

PIEBALDconsult 9-Dec-20 18:55pm

Hopping... crawling... scooting...

Patrice T 9-Dec-20 19:03pm

May be child is Mandalorian :)

OriginalGriff · Answer 2 · 2020-03-07T04:03:00

We are more than willing to help those that are stuck: but that doesn't mean that we are here to do it all for you! We can't do all the work, you are either getting paid for this, or it's part of your grades and it wouldn't be at all fair for us to do it all for you.

So we need you to do the work, and we will help you when you get stuck. That doesn't mean we will give you a step by step solution you can hand in!
Start by explaining where you are at the moment, and what the next step in the process is. Then tell us what you have tried to get that next step working, and what happened when you did.