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Counting numbers in a given range formed from given digits

This type of question, asked 4 times: 11 May 2023 S1, 15 Apr 2026 S1, 16 Apr 2026 S1, 15 May 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    11 May 2023 S1

    103
    How many numbers greater than a million can be formed with the digits 2, 3, 0, 3, 4, 2, 3?

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  2. Question 2

    15 Apr 2026 S1

    52
    The number of five-digit numbers formed using the digits 2,3,5,7,92, 3, 5, 7, 9 without repetition and which are greater than 2400024000 are

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  3. Question 3

    16 Apr 2026 S1

    53
    The number of arrangements of the numbers strictly between 10 and 1000 formed with the digits 0, 1, 2, 3, 4, 5, 6 without repetition is

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  4. Question 4

    15 May 2026 S1

    55
    How many numbers (without repetition) between 400400 and 10001000 can be made with the digits 2,3,4,5,6,2, 3, 4, 5, 6, and 00?

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