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Probability that $1$ and $2in A$ where $Asubset X_n$

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2 0 $begingroup$ Let $x_n={1,2,3,...,n}$ and let a subset $A$ of $X_n$ be chosen so that every pair of elements of $A$ differ by at least $3$ . When $n=10$ , let probability that $1in A=p$ and probability that $2in A=q$ . Find $p$ and $q$ . I am not being able to find either the sample space or decide how to find the number of events in $p$ and $q$ . How should I do it? Thanks in advance! probability discrete-mathematics share | cite | improve this question edited Dec 6 '18 at 18:44 greedoid 46.4k 11 60 118