A conference consists of 5 sessions: A, B, C, D, and E. Here are the costs of the sessions. Session A: $50 Session B: $50 Session C: $100 Session D: $150 Session E: $200 A participant plans to attend 3 sessions. Which of the following gives a complete list of all possible samples of size 3 from this population of 5 sessions, selected without replacement?
Selecting 3 sessions without replacement means each sample contains 3 different sessions, and order does not matter. There are 5 × 4 × 3 ÷ (3 × 2 × 1) = 10 possible samples. Choice D lists all 10: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, and CDE.
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