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APMOPS 2005 Question 17

APMOPS · APMOPS 2005

Question 17

Numbers such as 1001, 23432, 897798, 3456543 are known as palindromes. If all of the digits 2, 7, 0 and 4 are used and each digit cannot be used more than twice, find the number of different palindromes that can be formed.