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Let \(S=\{1,2,3,4,5,6\}\). Then the probability that a randomly chosen onto function \(g\) from \(S\) to \(S\) satisfies…

Q1

Let \(S=\{1,2,3,4,5,6\}\). Then the probability that a randomly chosen onto function \(g\) from \(S\) to \(S\) satisfies \(g(3)\) \(=2 g(1)\) is:

[JEE Main 2021, 31 Aug (Shift 2)]

a

\(\frac{1}{15}\)

b

\(\frac{1}{5}\)

c

\(\frac{1}{10}\)

d

\(\frac{1}{30}\)

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