what to do to creat a palindrome 6 digit number
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Answer: Let represent a six-digit number and each letter represent one digit. For to be a palindrome, it must be the same forwards and backwards. Therefore, as long as , , and , will be a palindrome. The problem then becomes how many combinations there are for to be a three-digit number.
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Said this, the answer is: 9 x 10 x 10 x 1 x 1 x 1 = 900 six digits palindroms. A 6 digit palindromic number is in the form XYZZYX where X is non zero. Therefore there are 9 choices for X and 10 for each Y, Z.
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