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	<title>Comments on: How To Understand Combinations Using Multiplication</title>
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	<link>http://betterexplained.com/articles/how-to-understand-combinations-using-multiplication/</link>
	<description>Learning shouldn&#039;t hurt. Let&#039;s share the insights that made difficult ideas click.</description>
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		<title>By: soni</title>
		<link>http://betterexplained.com/articles/how-to-understand-combinations-using-multiplication/#comment-308698</link>
		<dc:creator>soni</dc:creator>
		<pubDate>Fri, 27 Aug 2010 21:13:09 +0000</pubDate>
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		<description>I can&#039;t seem to understand how to solve a problem similar to the following:

If there are X different items and I need to determine the number of subgroups containing at least Y of these items, how would I go about doing that? The actual problem asks for the above with x=6 and y=2, and the answer is 57 b/c they do 2^6 - 6 - 1. But why do they do that? I don&#039;t understand, please help!!

Many thanks,
soni</description>
		<content:encoded><![CDATA[<p>I can&#8217;t seem to understand how to solve a problem similar to the following:</p>
<p>If there are X different items and I need to determine the number of subgroups containing at least Y of these items, how would I go about doing that? The actual problem asks for the above with x=6 and y=2, and the answer is 57 b/c they do 2^6 &#8211; 6 &#8211; 1. But why do they do that? I don&#8217;t understand, please help!!</p>
<p>Many thanks,<br />
soni</p>
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	<item>
		<title>By: boyena rajesh</title>
		<link>http://betterexplained.com/articles/how-to-understand-combinations-using-multiplication/#comment-244624</link>
		<dc:creator>boyena rajesh</dc:creator>
		<pubDate>Tue, 09 Jun 2009 11:14:02 +0000</pubDate>
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		<description>i recieved very nice explanation on permutation and combination</description>
		<content:encoded><![CDATA[<p>i recieved very nice explanation on permutation and combination</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Charles</title>
		<link>http://betterexplained.com/articles/how-to-understand-combinations-using-multiplication/#comment-241655</link>
		<dc:creator>Charles</dc:creator>
		<pubDate>Sat, 23 May 2009 22:21:23 +0000</pubDate>
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		<description>I have a question Sir -

I have 10 numbers for example - 1,2,3, 4,5, 6,7,8,9,10 arranged in two sets of five  numbers each

I arrange the  numbers – in the  following format

(1 2 3 4 5 )   and ( 6 7 8 9 10) 

A = 1 ,  A = 6
B= 2 ,   B= 7
C=3 ,   C = 8
D= 4 ,   D= 9
E = 5 ,  E =  10



TASK – Arrange the numbers  into groups  of five  making sure that EACH  combination of five numbers reflects ABCDE

NOTE - The format  ABCDE must be strictly adhered to when arranging the  numbers in groups  of five

Some examples  are – (1,2,3,4,5) ,  (6,7,8,9, 10),    ( 1,2,3,9,10)    (6, 7, 8, 4,5)

QUESTION- HOW MANY POSSIBLE  OTHER ARRANGEMENTS ARE THERE IN THE ABOVE CASE.. AND WHAT ARE THEY?

COULD THIS BE DONE FOR 16 numbers  arranged in 2 sets of eight  and  how would that case be solved ?</description>
		<content:encoded><![CDATA[<p>I have a question Sir -</p>
<p>I have 10 numbers for example &#8211; 1,2,3, 4,5, 6,7,8,9,10 arranged in two sets of five  numbers each</p>
<p>I arrange the  numbers – in the  following format</p>
<p>(1 2 3 4 5 )   and ( 6 7 8 9 10) </p>
<p>A = 1 ,  A = 6<br />
B= 2 ,   B= 7<br />
C=3 ,   C = 8<br />
D= 4 ,   D= 9<br />
E = 5 ,  E =  10</p>
<p>TASK – Arrange the numbers  into groups  of five  making sure that EACH  combination of five numbers reflects ABCDE</p>
<p>NOTE &#8211; The format  ABCDE must be strictly adhered to when arranging the  numbers in groups  of five</p>
<p>Some examples  are – (1,2,3,4,5) ,  (6,7,8,9, 10),    ( 1,2,3,9,10)    (6, 7, 8, 4,5)</p>
<p>QUESTION- HOW MANY POSSIBLE  OTHER ARRANGEMENTS ARE THERE IN THE ABOVE CASE.. AND WHAT ARE THEY?</p>
<p>COULD THIS BE DONE FOR 16 numbers  arranged in 2 sets of eight  and  how would that case be solved ?</p>
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