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3-different-integer-numbers-are-chosen-from-0-to-10-what-is-the-probability-that-they-form-1-Cluster-3-Clusters-2-Clusters-A-cluster-is-a-set-of-numbers-that-has-maximum-range-of-2-for-example-0-1




Question Number 215710 by Red1ight last updated on 15/Jan/25
  3 different integer numbers are chosen from 0 to 10. what is the probability that they form  1 Cluster  3 Clusters  2 Clusters    A cluster is a set of numbers that has maximum range of 2. for example 0,1,2 forms only one cluster. 0,1,4 forms 2 {0,1} and {4}. 0,1,3 also forms 2 {0,1} and {1,2}
$$ \\ $$3 different integer numbers are chosen from 0 to 10. what is the probability that they form
1 Cluster
3 Clusters
2 Clusters

A cluster is a set of numbers that has maximum range of 2. for example 0,1,2 forms only one cluster. 0,1,4 forms 2 {0,1} and {4}. 0,1,3 also forms 2 {0,1} and {1,2}

Answered by MrGaster last updated on 19/Jan/25
(3/(55))  ((28)/(55))  ((24)/5)
$$\frac{\mathrm{3}}{\mathrm{55}} \\ $$$$\frac{\mathrm{28}}{\mathrm{55}} \\ $$$$\frac{\mathrm{24}}{\mathrm{5}} \\ $$

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