Q:

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.

Accepted Solution

A:
Answer:  A, B, C, & E are trueStep-by-step explanation:A.The combination of AB and BA are the same.    [tex]\bold{\boxed{\text{TRUE}}}[/tex]The order he chooses the shirts doesn't matter because they will both be packed in the same suitcase.B.Each shirt can be paired with any one of the other remaining shirts.  [tex]\bold{\boxed{\text{TRUE}}}[/tex]The statement is TRUE but he can only bring two shirts.C.There are twenty possible ways to choose the group of shirts.   [tex]\bold{\boxed{\text{TRUE}}}[/tex]there are 5 x 4 = 20 ways to choose two shirtsD.He has five choices for the first shirt and five choices for the second shirt.  FALSEHe has 5 choices for the 1st shirt but only 4 remaining shirts to choose the 2nd shirt from.E.If he chooses shirt B, there are four possible outcomes for choosing the second shirt.  [tex]\bold{\boxed{\text{TRUE}}}[/tex]the reason is in previous explanation