If elements from the sample are selected without replacement, then the number of ways you can select all of them is 1. This problem can be solved using Probability. and combination.
What is Probability?
- Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.
- A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.
- The flip of a fair (impartial) coin serves as a straightforward illustration. The coin is fair, thus both possibilities are equally likely.
- The probability of "heads" equals the likelihood of "tails," and as there are no other conceivable outcomes, the probability of either "heads" or "tails" is 1/2 (also written as 0.5).
When there is no replacement, we use combination to find a number of ways to choose things.
Number of ways to choose things out of (without replacement) = [tex]^nC _r = \frac{n!}{r! (n-r)!}[/tex]
The number of ways to choose 8 things = [tex]^8C _8 = \frac{8!}{8! (8-8)!}[/tex] = 1
Hence, the Number of ways is 1
To learn more about probability with the given link
https://brainly.com/question/15135734
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