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4 September, 09:35

Using the 0,1,6,8, and 9, write down all the possible three-digit numbers that have rotational symmetry. the digits can be used more then once

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  1. 4 September, 12:38
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    Assuming 1 is written rotationally symmetrical, using 0,1,6,8,9 to make numbers that have a degree of symmetry of 2 (i. e. 180 degrees), we can say

    one digit numbers: 0,1,8

    two digit numbers: 11, 69, 96

    (18 becomes 81, so not admissible, similarly for 19, 91,16,61, etc)

    (00 is not considered generally as a two-digit number)

    three digit numbers:

    (000, 010, 080 are not considered generally as a three-digit number)

    101, 609, 808, 906,

    replace the middle digit successively by 1 and 8 gives

    111, 619, 818, 916,

    181, 689, 888, 986

    for a total of 12 numbers
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