Solution

The correct answer is 2574

Key Points

To determine the maximum possible number of chairs that could be labeled with a letter followed by a positive two-digit integer, let's break down the problem:

• Letters: There are 26 letters in the English alphabet (A to Z).
• Two-digit positive integers: These range from 01 to 99, inclusive. Therefore, there are 99 - 01 + 1 = 99 possible two-digit numbers.

Now, we need to multiply the number of letters by the number of possible two-digit integers:

• Number of letters: 26
• Number of two-digit integers: 99
• So the total number of possible labels is: [ 26 x 99 = 2574 ]

Therefore, the maximum possible number of chairs that could be labeled this way is 2574.

The correct answer is: 2) 2574