9-Digit Number Formation Probabilities
Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9} . Let x be the number of 9-digit numbers formed using the digits of the set S such that only one digit is repeated and it is repeated exactly twice. Let y be the number of 9-digit numbers formed using the digits of the set S such that only two digits are repeated and each of these is repeated exactly twice. Then,