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Let {S}={{1},{2},,{20}}. A subset {B} of {S} is said to be {''

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Let $S = {1, 2, \dots, 20} .$ A subset $B$ of $S$ is said to be $^{''} n i c e^{''}$ , if the sum of the elements of $B$ is 203. Then the probability that a randomly chosen subset of $S$ is $^{''} n i c e^{''}$ is: (a) $\frac{7}{2 ^{20}}$ (b) $\frac{5}{2 ^{20}}$ (c) $\frac{4}{2 ^{20}}$ (d) $\frac{6}{2 ^{20}}$

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Alexander Discussed

Let

S = {1, 2, \dots, 20} .

A subset

B

S

is said to be

^{''} n i c e^{''}

, if the sum of the elements of

B

is 203. Then the probability that a randomly chosen subset of

S

^{''} n i c e^{''}

is: (a)

\frac{7}{2 ^{20}}

(b)

\frac{5}{2 ^{20}}

(c)

\frac{4}{2 ^{20}}

(d)

\frac{6}{2 ^{20}}

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Question Text	Let $S = {1, 2, \dots, 20} .$ A subset $B$ of $S$ is said to be $^{''} n i c e^{''}$ , if the sum of the elements of $B$ is 203. Then the probability that a randomly chosen subset of $S$ is $^{''} n i c e^{''}$ is: (a) $\frac{7}{2 ^{20}}$ (b) $\frac{5}{2 ^{20}}$ (c) $\frac{4}{2 ^{20}}$ (d) $\frac{6}{2 ^{20}}$
Answer Type	Video solution: 1
Upvotes	150