carriedinterest wrote:

On my count, there are 54 numbers meeting these criteria.

First, there are numbers greater than 700 with matching digits in the hundreds and unit positions: 707, 808, 909 = 3.

Correct, but there are such numbers as 717, 727, etc., 9 of them in every hundred: 9 x 3 = 27

**Quote:**

Second, there are numbers with matching digits in the tens and units positions: 711, 722, 733, 744, 755, 766, 788, 799 = 8 x 3 = 24

Correct, but only for the 7th hundred, in 8th and 9th there are also numbers 800 and 900. Total: 8 + 9 + 9 = 26

**Quote:**

Finally, there are numbers with matching digits in the hundreds and tens positions: 770, 771, 772, 773, 774, 775, 776, 778, 779 = 9 x 3 = 27

Completely agree

27+26+27=80