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	<title>Comments for TUNISIEN GROUP - www.marbretunisien.com</title>
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	<lastBuildDate>Wed, 03 Feb 2010 01:44:59 +0000</lastBuildDate>
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		<title>Comment on in how many ways can 5 differently colored marbles be arranged in a row? by CATMAT</title>
		<link>http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row/#comment-2469</link>
		<dc:creator>CATMAT</dc:creator>
		<pubDate>Wed, 03 Feb 2010 01:44:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row#comment-2469</guid>
		<description>It helps if you draw 5 boxes and put the number of choices in each box and then multiply
First box: You have 5 choices, put in number 5
Second box: having already used up 1 marble (in the first box) there are now only 4 options left, put 4 in second box...and so on
5 x 4 x 3 x 2 x 1 = 120 = 5! ways&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>It helps if you draw 5 boxes and put the number of choices in each box and then multiply<br />
First box: You have 5 choices, put in number 5<br />
Second box: having already used up 1 marble (in the first box) there are now only 4 options left, put 4 in second box&#8230;and so on<br />
5 x 4 x 3 x 2 x 1 = 120 = 5! ways<br /><b>References : </b></p>
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	<item>
		<title>Comment on in how many ways can 5 differently colored marbles be arranged in a row? by yljacktt81</title>
		<link>http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row/#comment-2468</link>
		<dc:creator>yljacktt81</dc:creator>
		<pubDate>Wed, 03 Feb 2010 01:04:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row#comment-2468</guid>
		<description>C)5!&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>C)5!<br /><b>References : </b></p>
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		<title>Comment on in how many ways can 5 differently colored marbles be arranged in a row? by EzEkIeL</title>
		<link>http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row/#comment-2467</link>
		<dc:creator>EzEkIeL</dc:creator>
		<pubDate>Wed, 03 Feb 2010 00:23:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row#comment-2467</guid>
		<description>c.5
because you can only simultaneously arrange it and does not affect the other marble&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>c.5<br />
because you can only simultaneously arrange it and does not affect the other marble<br /><b>References : </b></p>
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		<title>Comment on in how many ways can 5 differently colored marbles be arranged in a row? by mathmom28</title>
		<link>http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row/#comment-2466</link>
		<dc:creator>mathmom28</dc:creator>
		<pubDate>Tue, 02 Feb 2010 23:57:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row#comment-2466</guid>
		<description>The first marble can be one of 5 colours.

For each of these 5 colours, the second marble can then be one of 4 colours.

For each of these 5x4 combinations, the third marble can be one of 3 remaining colours.

For each of these 5x4x3 combinations, the fourth marble can be one of 2 remaining colours.

For each of these 5x4x3x2 combinations, the last marble can only be the remaining colour.

Total combinations: 5x4x3x2x1 = 5!  = 120&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>The first marble can be one of 5 colours.</p>
<p>For each of these 5 colours, the second marble can then be one of 4 colours.</p>
<p>For each of these 5&#215;4 combinations, the third marble can be one of 3 remaining colours.</p>
<p>For each of these 5x4x3 combinations, the fourth marble can be one of 2 remaining colours.</p>
<p>For each of these 5x4x3x2 combinations, the last marble can only be the remaining colour.</p>
<p>Total combinations: 5x4x3x2x1 = 5!  = 120<br /><b>References : </b></p>
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		<title>Comment on in how many ways can 5 differently colored marbles be arranged in a row? by ellioT</title>
		<link>http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row/#comment-2465</link>
		<dc:creator>ellioT</dc:creator>
		<pubDate>Tue, 02 Feb 2010 23:39:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row#comment-2465</guid>
		<description>C) 5! is the answer

because 5! = 5 * 4 * 3 * 2 * 1

There are 5 spaces for the marbles.
The 1st marble can go in any of the 5 spaces so the number of combinations is 5.
The 2nd marble can only go in 4 of the 5 since 1 space is being occupied by the 1st marble... so the number of combinations is multiplied by 4.
The 3nd marble can only go in 3 of the 5 since 2 spaces are being occupied by the 1st and 2nd marbles... so the number of combinations is multiplied by 3.

so on and so forth.....&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>C) 5! is the answer</p>
<p>because 5! = 5 * 4 * 3 * 2 * 1</p>
<p>There are 5 spaces for the marbles.<br />
The 1st marble can go in any of the 5 spaces so the number of combinations is 5.<br />
The 2nd marble can only go in 4 of the 5 since 1 space is being occupied by the 1st marble&#8230; so the number of combinations is multiplied by 4.<br />
The 3nd marble can only go in 3 of the 5 since 2 spaces are being occupied by the 1st and 2nd marbles&#8230; so the number of combinations is multiplied by 3.</p>
<p>so on and so forth&#8230;..<br /><b>References : </b></p>
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		<title>Comment on in how many ways can 5 differently colored marbles be arranged in a row? by Ross M</title>
		<link>http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row/#comment-2464</link>
		<dc:creator>Ross M</dc:creator>
		<pubDate>Tue, 02 Feb 2010 22:53:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/in-how-many-ways-can-5-differently-colored-marbles-be-arranged-in-a-row#comment-2464</guid>
		<description>To put the first marble, you have 5 to choose from.
To put the next one you have 4 to choose from; you have already used one.
And so on.

5 x 4 x 3 x 2 x 1

5!

C

See?&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>To put the first marble, you have 5 to choose from.<br />
To put the next one you have 4 to choose from; you have already used one.<br />
And so on.</p>
<p>5 x 4 x 3 x 2 x 1</p>
<p>5!</p>
<p>C</p>
<p>See?<br /><b>References : </b></p>
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		<title>Comment on What is the game we all played when we were younger where you drop the marbles onto a wet paper towel? by Brad</title>
		<link>http://www.marbretunisien.com/marbles/what-is-the-game-we-all-played-when-we-were-younger-where-you-drop-the-marbles-onto-a-wet-paper-towel/#comment-2462</link>
		<dc:creator>Brad</dc:creator>
		<pubDate>Tue, 26 Jan 2010 18:46:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/what-is-the-game-we-all-played-when-we-were-younger-where-you-drop-the-marbles-onto-a-wet-paper-towel#comment-2462</guid>
		<description>sounds like a ghetto version of KERPLUNK...absolutely amazing game&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>sounds like a ghetto version of KERPLUNK&#8230;absolutely amazing game<br /><b>References : </b></p>
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		<title>Comment on How much are the number marbles each one has? by Jun Agruda</title>
		<link>http://www.marbretunisien.com/marbles/how-much-are-the-number-marbles-each-one-has/#comment-2461</link>
		<dc:creator>Jun Agruda</dc:creator>
		<pubDate>Sun, 24 Jan 2010 15:32:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/how-much-are-the-number-marbles-each-one-has#comment-2461</guid>
		<description>Marbles of Benny—b:
a + b + c = 249
b = 249 - a - c

Marbles of Abel—a
a = 20 + 249 - a - c
a = 269- a - c
2a = 269 - c
a = 269/2 - 1/2c

Marbles of Benny—b:
= 249 - (269/2 - 1/2c) - c
= 498/2 - 269/2 + 1/2c - 2/2c
= 229/2 - 1/2c

Marbles of Charles—c:
2c = 6 + 229/2 - 1/2c + 269/2 - 1/2c
4c = 12 + 229 - c + 269 - c
6c = 510
c = 85

Marbles of Benny:
= 229/2 - 1/2(85)
= 229/2 - 85/2
= 144/2 or 72

Marbles of Abel:
= 269/2 - 1/2(85)
= 269/2 - 85/2
= 184/2 or 92

Answer: marbles: Abel has 92, Benny has 72 &amp; Charles has 85.&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>Marbles of Benny—b:<br />
a + b + c = 249<br />
b = 249 &#8211; a &#8211; c</p>
<p>Marbles of Abel—a<br />
a = 20 + 249 &#8211; a &#8211; c<br />
a = 269- a &#8211; c<br />
2a = 269 &#8211; c<br />
a = 269/2 &#8211; 1/2c</p>
<p>Marbles of Benny—b:<br />
= 249 &#8211; (269/2 &#8211; 1/2c) &#8211; c<br />
= 498/2 &#8211; 269/2 + 1/2c &#8211; 2/2c<br />
= 229/2 &#8211; 1/2c</p>
<p>Marbles of Charles—c:<br />
2c = 6 + 229/2 &#8211; 1/2c + 269/2 &#8211; 1/2c<br />
4c = 12 + 229 &#8211; c + 269 &#8211; c<br />
6c = 510<br />
c = 85</p>
<p>Marbles of Benny:<br />
= 229/2 &#8211; 1/2(85)<br />
= 229/2 &#8211; 85/2<br />
= 144/2 or 72</p>
<p>Marbles of Abel:<br />
= 269/2 &#8211; 1/2(85)<br />
= 269/2 &#8211; 85/2<br />
= 184/2 or 92</p>
<p>Answer: marbles: Abel has 92, Benny has 72 &amp; Charles has 85.<br /><b>References : </b></p>
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		<title>Comment on How much are the number marbles each one has? by Hapsa!!!!!!!</title>
		<link>http://www.marbretunisien.com/marbles/how-much-are-the-number-marbles-each-one-has/#comment-2460</link>
		<dc:creator>Hapsa!!!!!!!</dc:creator>
		<pubDate>Sun, 24 Jan 2010 15:10:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/how-much-are-the-number-marbles-each-one-has#comment-2460</guid>
		<description>Abel - 20 marbles
Benny - less than Abel
Charles - 26 marbles - I think.
Benny has less than abel, so ny number I guess.&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>Abel &#8211; 20 marbles<br />
Benny &#8211; less than Abel<br />
Charles &#8211; 26 marbles &#8211; I think.<br />
Benny has less than abel, so ny number I guess.<br /><b>References : </b></p>
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	<item>
		<title>Comment on how to build a Rube Goldberg machine that separates marbles, paperclips and tooth picks? by Drewfuss</title>
		<link>http://www.marbretunisien.com/marbles/how-to-build-a-rube-goldberg-machine-that-separates-marbles-paperclips-and-tooth-picks/#comment-2459</link>
		<dc:creator>Drewfuss</dc:creator>
		<pubDate>Fri, 22 Jan 2010 23:23:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.marbretunisien.com/marbles/how-to-build-a-rube-goldberg-machine-that-separates-marbles-paperclips-and-tooth-picks#comment-2459</guid>
		<description>toothpicks float, marbles roll, paperclips are magnetic.&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>toothpicks float, marbles roll, paperclips are magnetic.<br /><b>References : </b></p>
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