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How many four-digit numbers are there wh...

How many four-digit numbers are there whose decimal notation contains not more than two distinct digits?

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To find the number of four-digit numbers whose decimal notation contains not more than two distinct digits, we can break the problem down into cases. ### Step-by-Step Solution **Step 1: Count the case where all four digits are the same.** - The four-digit numbers can only be formed using the digits 1 to 9 (since a four-digit number cannot start with 0). - The possible numbers are 1111, 2222, ..., 9999. - Thus, there are 9 such numbers (one for each digit from 1 to 9). ...
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Knowledge Check

  • How many 6-digit numbers are there?

    A
    `=8.5 ` lakh
    B
    `=9.5 ` lakh
    C
    `=8 ` lakh
    D
    `=9 ` lakh
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