Sample Space of Selecting 5 Balls Without Replacement

AI Thread Summary
The discussion revolves around determining the sample space for selecting five balls from an urn containing six balls numbered 1-6 without replacement. One participant initially calculated six combinations based on simultaneous selection but questioned how the sample space would change if the balls were selected one at a time. The conversation suggests that the method of selection may not significantly alter the final sample space. Participants are encouraged to explore both simultaneous and sequential selection methods. The thread emphasizes the importance of understanding the implications of selection order on the sample space.
doozy1414
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Determine the sample space for this random experiment:

An urn contains six balls numbered 1-6. The random experiment consists of selecting five balls without replacement.

The way i did it was by figuring that the balls were selected simultaneously so i got six different combinations. But what if they are selected one at a time?
 
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If they were selected one at a time, what would the final sample space be for each possible combination? I'll give you a hint: I don't think what you did and what the answer to the problem is differs so much :)
 
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