A subset A of the set X={1,2,3,..,100} is chosen at random. The set X is reconstructed by replacing the elements of A, and another subset B of X is chosen at random. The probability that `A cap B` contains exactly 10 elements, isA. `.^(100)C_(10)((3)/(4))^(90)`B. `.^(100)C_(10)((1)/(2))^(100)`C. `.^(100)C_(10)xx(3^(90))/(4^(100))`D. none of these

A subset A of the set X={1,2,3,..,100} is chosen at random. The set X

1.	A subset A of the set X={1,2,3,..,100} is chosen at random. The set X is reconstructed by replacing the elements of A, and another subset B of X is chosen at random. The probability that `A cap B` contains exactly 10 elements, isA. `.^(100)C_(10)((3)/(4))^(90)`B. `.^(100)C_(10)((1)/(2))^(100)`C. `.^(100)C_(10)xx(3^(90))/(4^(100))`D. none of these
Answer» Correct Answer - C

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