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 Palindromic and Tautonymic (Posted on 2009-03-03)
Make a list of distinct positive integers that are obtained by assigning a different decimal digit from 1 to 9 to each of the capital letters in bold in this expression.

(AB)/C + (DE)/F + (GH)/I

How many of these integers are palindromes? How many are tautonymic numbers?

Note:
A tautonymic number is one which can be divided into two equal non-palindromic halves, with each part having at least two different digits. For example, each of 3636, 5252, 6767, 276276 and 56635663 is a tautonymic number - but, none of 4444 and 555555 is a tautonymic number.

 Submitted by K Sengupta Rating: 5.0000 (1 votes) Solution: (Hide) There are 6 palindromes and 2 tautonymic numbers. For an explanation, refer to the solution submitted by Charlie in this location.--------------------------------------------- A list of distinct positive integers that are obtained by assigning a different decimal digit from 1 to 9 to each of the capital letters in bold in the given expression has also been provided by Charlie in the comments.

 Subject Author Date re(2): for the actual first question Charlie 2009-03-03 16:24:46 re: for the actual first question Charlie 2009-03-03 16:22:08 for the actual first question Charlie 2009-03-03 16:19:49 computer solution Charlie 2009-03-03 14:07:14 Computer Solution Daniel 2009-03-03 13:29:50

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