The number 42524 is a palindrome, because it reads the same backwards as forward. How many integer palindromes are between 10,000 and 70,000, and are even?

Question

Mathematics

Haiden Church

20 January, 19:48

The number 42524 is a palindrome, because it reads the same backwards as forward. How many integer palindromes are between 10,000 and 70,000, and are even?

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Answers (1)

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Jaylyn Archer · Answer 1

300

Step-by-step explanation:

The first (and last) digit can be any of {2, 4, 6}. The 2nd and 3rd digits can be any from 00 to 99. The 4th digit is the same as the 2nd, and the 5th digit is the same as the first.

There are 3·10·10 = 300 possible even palindromes in the given range.