Question

Leo the rabbit hops 1 or 2 stairs how many different ways can he climb 10 stairs

Answer 1

1,1,1,1,1,1,1,1,1,1
1,1,1,1,1,1,1,1,2
1,1,1,1,1,1,2,2,
1,1,1,1,2,2,2,
1,1,2,2,2,2
2,2,2,2,2

Answer 2

There are 240 ways Leo can hop 10 stairs.

Given that,
Leo the rabbit hops 1 or 2 stairs how many different ways can he climb 10 stairs is to be determined.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here, in the question, there are 10 stairs and Leo climbs the stairs through 1 or 2 hops.
The required combinations can be = 10 + 10/2 +10C1*10C2/2
                                                          = 10 + 5 + 10 * 45/2
                                                          = 15 + 225
                                                          = 240 ways

There are 240 ways Leo can hop 10 stairs.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ5