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Let S = (1, 2, …, 20}. A subset B of S i...

Let S = (1, 2, …, 20}. A subset B of S is said to be ''nice'', if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is ''niche'' is

Text Solution

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The correct Answer is:
5
Sum of all entries `= (20xx 21)/(2) =210`
`therefore` For subset to be nice.
We have to remove `1,2,4`
`1,6` <
`2,5`
`3,4`
7
`therefore` Probability `= (5)/(2 ^(20)).`
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