3-Digit Palindromes

Level 1

A palindromic number is one which can be written the same forward as backward.

Ex: 19391, 88388, 11, etc.

How many 3-digit palindromic numbers exist?


The answer is 90.

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1 solution

Stephen Mellor
Dec 11, 2017

The first digit can be chosen in 9 ways (1 through 9).

The second digit can be chosen in 10 ways (0 through 9).

The last digit is determined by the first.

9 × 10 = 90 9 \times 10 = \boxed{90}

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