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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Oh, dude, let me break it down for you. So, there are 9 choices for the digit that's different from the other two, and 3 choices for where that different digit goes. That gives us 27 possible numbers with exactly 2 digits the same. Easy peasy, lemon squeezy.
To find the number of 3-digit numbers with exactly 2 digits the same, we can break it down into cases. There are 9 choices for the repeated digit (1-9, excluding 0), 8 choices for the non-repeated digit, and 3 positions for the non-repeated digit in the number (hundreds, tens, or units place). Therefore, the total number of such numbers is 9 * 8 * 3 = 216.
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).
There are 22680 numbers, excluding those with leading 0s.
There are 5460 five digit numbers with a digit sum of 22.
how many numbers exactly have 4 digits ? 8900, 8999, 9000, 9999
There are 60480 numbers.
To find the even two-digit numbers where the sum of the digits is 5, we need to consider the possible combinations of digits. The digits that sum up to 5 are (1,4) and (2,3). For the numbers to be even, the units digit must be 4, so the possible numbers are 14 and 34. Therefore, there are 2 even two-digit numbers where the sum of the digits is 5.