How many different ways can pooch reach tge top of the stairs?

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There are ten steps in my house for my dog pooch to climb. Pooch can either climb one or two steps at a time. For example he could climb (2,2,2,2,2) or (1,2,2,2,2,1) or (2,1,2,2,2,1). How many different ways can pooch reach the top of the stairs. Please explain how this is done.

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    One Response to “How many different ways can pooch reach tge top of the stairs?”

    1. Ryan P says:

      So if you have ten, then you have to know all the different ways (how many 2’s and 1’s) for each combination. So you know you can have 5 2’s and 10 1’s. But the others are 8 1’s and one 2, 6 1’s and two 2’s, 4 ones and 3 twos, 2 ones and 3 twos, and 2 ones and 4 twos. so then you have to multiply each by the amount of possibilities within each combination. so there are one possibility each for the only 2’s and only 1’s.
      total: 2
      then for 8 1’s and one two, then there are 9 possibilities because a two can go anywhere in between.
      total: 11
      then for 6 ones and 2 twos, multiply by the possibilities of each and so on.
      I am not going to do all of these for you though 😛

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