The answer will vary depending on the date format, for example whether you use the international date format (for example 2015-05-14), day-month-year, month-day-year, and whether you use two or four digits for the year.
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It is not possible to answer to this question. This is because of the number of different ways in which dates are written. First, there is the US habit order of month-day-year which is at odds with everyone else. Second, there is the question of whether or not the year is shown as a 4-digit or 2-digit string. And finally, there is a question about preceding zeros.
Thus 4 March 1906 can appear as
(non-US)
4-3-06
4-3-1906
04-03-06
04-03-1906
(US)
3-4-06
3-4-1906
03-04-06
03-04-1906
It would be unusual, but feasible, to show the US dates as 03-4-06 or 3-04-06 or even shorten the year to just 6.
There were 100 years in the 20th century.
48 palindromes.
40 palindromes.
Forty palindromes.
99 palindromes.