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Numbers in which exactly one digit is repeated twice

This type of question, asked 2 times: 25 Jun 2022, 28 Jan 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    25 Jun 2022

    177
    The total number of three-digit numbers, with one digit repeated exactly two times, is

  2. Question 2

    28 Jan 2026 S1

    57
    Let S={1,2,3,4,5,6,7,8,9}S\mathbf{= \{ 1,2,3,4,5,6,7,8,9\}}. Let xx 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 yy 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,

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