Fiona chooses three towels from a group of five to pack in her beach bag for herself and her two brothers. Let the five towels be represented by A, B, C, D, and E. If Fiona chooses towel A for herself, which statements about the possible outcomes for her brothers' towels are true? Check all that apply. There are 10 possible ways to choose the group of towels.

The combination BC is not the same as CB.

She has four choices for the first brother's towel and three choices for the second brother's towel.

ABC, ABD, ABE, ACD, ACE, and ADE are the possible outcomes.

If Fiona did not choose towel A for herself, there would be more outcomes.

Question

Mathematics

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23 December, 04:07

Fiona chooses three towels from a group of five to pack in her beach bag for herself and her two brothers. Let the five towels be represented by A, B, C, D, and E. If Fiona chooses towel A for herself, which statements about the possible outcomes for her brothers' towels are true? Check all that apply. There are 10 possible ways to choose the group of towels.

The combination BC is not the same as CB.

She has four choices for the first brother's towel and three choices for the second brother's towel.

ABC, ABD, ABE, ACD, ACE, and ADE are the possible outcomes.

If Fiona did not choose towel A for herself, there would be more outcomes.

+1

Answers (2)

Know the Answer?

Mylee Horne · Answer 1

The true statements are:

The combination BC is not the same as CB.

She has four choices for the first brother’s towel and three choices for the second brother’s towel.

ABC, ABD, ABE, ACD, ACE, and ADE are the possible outcomes.

If Fiona did not choose towel A for herself, there would be more outcomes.

Kaya Day · Answer 2

Since there are five towels and Fiona already chose A for herself, she is left with 4 and has to choose another 2. This makes the number of choices,

4C2 = 6

However, if she had not chosen A for herself, she will have,

5C3 = 10 options

Out from the choices, the correct ones are "She has four choices for the first brother's towel and three choices for the second brother's towel.

Then, hadn't she choose towel A for herself, there would be more outcomes.