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<p>[QUOTE=&quot;Numbers, post: 1461208, member: 11668&quot;]Check your math...it&#039;s actually 1 out of 55 bills!&nbsp; <img src="styles/default/xenforo/clear.png" class="mceSmilieSprite mceSmilie11" alt=":rolleyes:" unselectable="on" unselectable="on" /></p><p><br /></p><p>How to calculate that: Assume for simplicity that all serial numbers from 00000000 to 99999999 are actually used, so that there are 100,000,000 possible serial numbers.&nbsp; In order for a serial number to have no repeated digits, the first digit can be anything (10 choices); the second can be anything that doesn&#039;t match the first digit (9 choices); the third can be anything that doesn&#039;t match one of the first two (8 choices), and so on for the rest.&nbsp; Thus the number of such serials is 10x9x8x7x6x5x4x3, which comes to 1,814,400.&nbsp; So the fraction of all bills that have no repeated digits is 1,814,400/100,000,000 = .018144, and if you hit the reciprocal button on your calculator, you see that this is roughly one out of 55.</p><p><br /></p><p><img src="styles/default/xenforo/clear.png" class="mceSmilieSprite mceSmilie6" alt=":cool:" unselectable="on" unselectable="on" />[/QUOTE]</p><p><br /></p>

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