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Numbers in General Form

How many four...

Question

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

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Solution

If three digits are different then three digits can be arranged in six different ways
Number of four digit numbers are $9.10.10.10 - 9.9.8.7 - 9.9.8 (6) = 9000 - 4536 - 3888 = 576$

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