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-1000

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Antonio Crona

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3y ago
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10y ago

For the 3 digit numbers from 900 - 999 then the 1st and 3rd numbers must be 9. The middle digit can vary from 0 - 9 making 10 palindromes in this range.

For the 4 digit numbers from 1000 to 1900 then the 1st and thus the 4th digit can only be 1. The middle pair of digits must be identical and can vary from 00 to 88 making 9 palindromes in this range.

Note : 1991 is outside the permitted range.

In total there are thus 10 + 9 = 19 palindromes between 900 - 1900.

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Q: How many palindromes are there between 900 - 1900?
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