Question

Pile of packs. You walk into class late and notice a bunch of backpacks lying against one wall. How could you check to see if there's a one-toone correspondence between the backpacks and the students in the room?

Answer 1

To check for one-to-one correspondence between backpacks and students, count the number of backpacks and students. If they are equal, there is a one-to-one correspondence. Otherwise, there may not be.

Step-by-step explanation:

To check if there's a one-to-one correspondence between the backpacks and the students in the room, you can follow these steps:

1. Count the number of backpacks in the pile.
2. Count the number of students in the room.
3. If the number of backpacks is equal to the number of students, there is a one-to-one correspondence. Each student will have a backpack.
4. If the number of backpacks is greater than the number of students, there may not be a one-to-one correspondence. Some students may not have a backpack.
5. If the number of backpacks is less than the number of students, there may not be a one-to-one correspondence. Some students may have to share a backpack.