There are 90 of them.
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If you mean, "What is the largest number of digits possible in the product of two 2-digit numbers" then 99 * 99 = 9801, or 4 digits. Anything down to 59 * 17 = 1003 will have 4 digits.
from 3 digits (10x10) to 4 digits (99X99)
-89
6*5*4*3*2*1=720 possible numbers
90. all the numbers from 10 through 99