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If two different numbers are taken from the set `(0, 1, 2, 3. 10):` then the probability that their sum as well as absolute difference are both multiple of 4 are (a) `14/45` (b) `7/55` (c) `6/55` (d) `12/55`

Text Solution

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There are `4` sets possible with the numbers having difference multiple of `4`.
`A = {1,5,9}`
`B = {0,4,8}`
`C = {2,6,10}`
`D= {3,7}`
If we do the sum of any two elements of set `A` and set `D`, it is not a multiple of `4`.
If we do the sum of any two elements of set `B` and set `C`, it is a multiple of `4`.
Now, we have to select `2` elements from each of the sets `B` and `C`.
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