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Let X(n)={1,2,3, . . .,n} and let a subs...

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. (For example, if n=5, A can be `cancelO`, {2} or {1,5} among others). When n=10, let the probability that 1 `in` A be p and let the probability that 2 `in` A be q. Then -

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