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Summer Clouds moderators

15/09/2017 at 08:55
Answers
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How many palindromes are between 9 and 1009?




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  • ...
    Phan Thanh Tinh Coordinator 15/09/2017 at 10:03

    The general forms of the satisfied palindromes are \(\overline{bb},\overline{cdc},\overline{effe}\)

    The number of 2-digit palindromes is : (99 - 11) : 11 + 1 = 9

    There are 9 choices to choose c and 10 choices to choose d, so the number of 3-digit palindromes is : 9 x 10 = 90

    The only 4-digit palindrome is 1001

    So, the answer is : 9 + 90 + 1 = 100 (palindromes)

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  • ...
    →இے๖ۣۜBoy™†hïếuGîa 16/09/2017 at 13:38

    The general forms of the satisfied palindromes are ¯¯¯¯¯bb,¯¯¯¯¯¯¯¯cdc,¯¯¯¯¯¯¯¯¯¯¯effebb¯,cdc¯,effe¯

    The number of 2-digit palindromes is : (99 - 11) : 11 + 1 = 9

    There are 9 choices to choose c and 10 choices to choose d, so the number of 3-digit palindromes is : 9 x 10 = 90

    The only 4-digit palindrome is 1001

    So, the answer is : 9 + 90 + 1 = 100 

  • ...
    Math You Like 16/09/2017 at 16:06

    The general forms of the satisfied palindromes are 

    The number of 2-digit palindromes is : (99 - 11) : 11 + 1 = 9

    There are 9 choices to choose c and 10 choices to choose d, so the number of 3-digit palindromes is : 9 x 10 = 90

    The only 4-digit palindrome is 1001

    So, the answer is : 9 + 90 + 1 = 100 (palindromes)


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