7
Part of 2022 LMT Spring
Problems(2)
2022 Spring LMT Team 7
Source:
9/1/2022
Kevin has a square piece of paper with creases drawn to split the paper in half in both directions, and then each of the four small formed squares diagonal creases drawn, as shown below.
https://cdn.artofproblemsolving.com/attachments/2/2/70d6c54e86856af3a977265a8054fd9b0444b0.png
Find the sum of the corresponding numerical values of figures below that Kevin can create by folding the above piece
of paper along the creases. (The figures are to scale.) Kevin cannot cut the paper or rip it in any way.
https://cdn.artofproblemsolving.com/attachments/a/c/e0e62a743c00d35b9e6e2f702106016b9e7872.png
geometrycombinatorics
2022 LMT Spring Accuracy Problem 7
Source:
9/29/2023
A teacher wishes to separate her students into groups. Yesterday, the teacher put the students into groups of . Today, the teacher decides to put the students into groups of again. However, she doesn’t want any pair of students to be in the same group on both days. Find how many ways she could formthe groups today.
combinatorics