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We have three cases:

1- Hundreds digit= Tens digit:

In every hundred 9 numbers are in this pattern:

110-112-113-114-115-116-117-118-119

and we have 9 hundreds, so in this case there are 81 numbers.

2- Hundreds digit= Units digit:

In every hundred 9 numbers are in this pattern:

101-121-131-141-151-161-171-181-191

and we have 9 hundreds, so in this case there are 81 numbers!

3- Tens digit= Units digit:

In every hundred 9 digits are in this pattern:

100-122-133-144-155-166-177-188-199,

and we have 9 hundreds, so in this case there are 81 numbers!

Total = 81 + 81 + 81 = 243

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Sir Java

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2y ago
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Wiki User

12y ago

Answer is 243

Starting at 100 (the first 3-digit number), I counted all numbers that had exactly two digits that were the same. I did this through 199. There are 27 of these. I then multiplied that result by 9 (to pick up the 200s through 900s).

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Anonymous

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21

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Q: How many 3 digit numbers have exactly 2 digits that are the same?
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