Tougher Combinatorics Formulas


	Tougher Combinatorics Formulas

DWarrior

8-30-2008 10:23 AM

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gre-gmat

1 Comment |

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8-15-2009 4:56 PM

shaan at ita best

give some examples so that it is clarified...

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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/2da730bc-b7c7-487a-abaf-01503ee450ca/0A083FB0-9697-4CA7-86CF-C3CCF5E960E8/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://forumserver.twoplustwo.com/showthread.php?t=287238" href="http://forumserver.twoplustwo.com/showthread.php?t=287238" style="font-size: 11px;">forumserver.twoplustwo.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://forumserver.twoplustwo.com/showthread.php?t=287238"><DIV>This is a well known problem which states that there are C(n+r -1, r-1) distinct number of nonnegative integer valued vectors (x1,x2,...,xr) satisfying x1 + x2 + ... + xr = n with "disregard to order". The formula where order matters (your example) is n!*C(n+r-1,r-1).</DIV></blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/0A083FB0-9697-4CA7-86CF-C3CCF5E960E8/blog/" title="blog or email this clip"><img src="http://content6.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>

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