Problem 50247. Number Puzzle - 047

Created by Doddy Kastanya

Solve Later

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 109px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 54.5px; transform-origin: 407px 54.5px; vertical-align: baseline; "><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Find all five-digit numbers N which can be written as abcde where a, b, c, d, and e do not have to be unique and satisfy the following condition:</span></span></div><div style="block-size: 58px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 29px; text-align: left; transform-origin: 384px 29px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" 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" data-image-state="image-loaded"></div></div></div>

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Last Solution submitted on May 27, 2021

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Problem 50247. Number Puzzle - 047

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