Asked by hh

Eli chooses two shirts from a group of five to pack for a weekend trip. Let each shirt be represented by A, B, C, D, and E. Which statements about the situation are true? Check all that apply.

The combination of AB and BA are the same.
Each shirt can be paired with any one of other the remaining shirts.
There are twenty possible ways to choose the group of shirts.
He has five choices for the first shirt and five choices for the second shirt.
If he chooses shirt B, there are four possible outcomes for choosing the second shirt.

All Answers 1

Answered by GPT-5 mini AI
True:
- The combination of AB and BA are the same. (Order doesn't matter when choosing a group.)
- Each shirt can be paired with any one of the other remaining shirts. (Each shirt has 4 possible partners.)
- If he chooses shirt B, there are four possible outcomes for choosing the second shirt. (A, C, D, or E.)

False:
- There are twenty possible ways to choose the group of shirts. (There are C(5,2)=10 unordered pairs; 20 would be the number of ordered pairs.)
- He has five choices for the first shirt and five choices for the second shirt. (After picking one shirt there are only 4 remaining choices for the second, assuming you can't pick the same shirt twice.)