Difference between revisions of "2024 AMC 8 Problems/Problem 13"
(→Solution 1) |
(→Solution 1) |
||
Line 9: | Line 9: | ||
UUDDUD | UUDDUD | ||
+ | |||
+ | |||
+ | |||
UDUDUD | UDUDUD | ||
UUUDDD | UUUDDD | ||
Line 14: | Line 17: | ||
UUDUDD | UUDUDD | ||
− | Counting all the paths listed above gets you 5 or B | + | Counting all the paths listed above gets you 5 or B. |
-ALWAYSRIGHT11 | -ALWAYSRIGHT11 |
Revision as of 16:34, 26 January 2024
Buzz Bunny is hopping up and down a set of stairs, one step at a time. In how many ways can Buzz start on the ground, make a sequence of hops, and end up back on the ground? (For example, one sequence of hops is up-up-down-down-up-down.)
Contents
[hide]Solution 1
Looking at the answer choices, you see that you can list them out. Doing this gets you:
UUDDUD
UDUDUD UUUDDD UDUUDD UUDUDD
Counting all the paths listed above gets you 5 or B.
-ALWAYSRIGHT11
Video Solution 1 (easy to digest) by Power Solve
Video Solution 2 by Math-X (First fully understand the problem!!!)
https://www.youtube.com/watch?v=Td6Z68YCuQw
~Math-X