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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 -

A

`pgtq` and `p-q=1/6`

B

`pltq` and `p-q=1/6`

C

`pgtq` and `p-q=1/10`

D

`pltq` and `p-q=1/10`

Text Solution

Verified by Experts

The correct Answer is:
C
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