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Let S={1,2,...,20} A subset B of S is sa...

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 `"nice"` is: (a) `7/(2^20)` (b) `5/(2^20)` (c) `4/(2^20)` (d) `6/(2^20)`

A

`(6)/(2^(20))`

B

`(5)/(2^(20))`

C

`(4)/(2^(20))`

D

`(7)/(2^(20))`

Text Solution

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The correct Answer is:
B
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