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<title>1.2 Tuloperiaate ja kertoma</title>
<id>https://peda.net/id/126822d4e32</id>
<updated>2018-11-08T10:19:54+02:00</updated>
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<rights type="html">&lt;div class=&quot;license&quot;&gt;Tämän sivun lisenssi &lt;a rel=&quot;license&quot; href=&quot;https://peda.net/info&quot;&gt;Peda.net-yleislisenssi&lt;/a&gt;&lt;/div&gt;&#10;</rights>

<entry>
<title>Tehtävä 143</title>
<id>https://peda.net/id/1dc94444e4e</id>
<updated>2018-11-10T14:28:23+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-143#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B6!%7D%7B4!%7D%3D%5Cfrac%7B6%5Ccdot5%5Ccdot4%5Ccdot3%5Ccdot2%5Ccdot1%7D%7B4%5Ccdot3%5Ccdot2%5Ccdot1%7D%3D%5Cfrac%7B6%5Ccdot5%7D%7B1%7D%3D%5Cfrac%7B30%7D%7B1%7D%3D30&quot; alt=&quot;\frac{6!}{4!}=\frac{6\cdot5\cdot4\cdot3\cdot2\cdot1}{4\cdot3\cdot2\cdot1}=\frac{6\cdot5}{1}=\frac{30}{1}=30&quot;/&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B6!%7D%7B%5Cleft(6-3%5Cright)!%7D%3D%5Cfrac%7B6!%7D%7B3!%7D%3D%5Cfrac%7B6%5Ccdot5%5Ccdot4%5Ccdot3%5Ccdot2%5Ccdot1%7D%7B3%5Ccdot2%5Ccdot1%7D%3D%5Cfrac%7B120%7D%7B1%7D%3D120&quot; alt=&quot;\frac{6!}{\left(6-3\right)!}=\frac{6!}{3!}=\frac{6\cdot5\cdot4\cdot3\cdot2\cdot1}{3\cdot2\cdot1}=\frac{120}{1}=120&quot;/&gt;&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B7!%7D%7B2!5!%7D%3D%5Cfrac%7B7%5Ccdot6%5Ccdot5%5Ccdot4%5Ccdot3%5Ccdot2%5Ccdot1%7D%7B2%5Ccdot1%5Ccdot5%5Ccdot4%5Ccdot3%5Ccdot2%5Ccdot1%7D%3D%5Cfrac%7B7%5Ccdot6%7D%7B2%5Ccdot1%7D%3D%5Cfrac%7B42%5E%7B%5Cleft(2%5Cright)%7D%7D%7B2%7D%3D%5Cfrac%7B21%7D%7B1%7D%3D21&quot; alt=&quot;\frac{7!}{2!5!}=\frac{7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{2\cdot1\cdot5\cdot4\cdot3\cdot2\cdot1}=\frac{7\cdot6}{2\cdot1}=\frac{42^{\left(2\right)}}{2}=\frac{21}{1}=21&quot;/&gt;</content>
<published>2018-11-10T14:28:23+02:00</published>
</entry>

<entry>
<title>Tehtävä 139</title>
<id>https://peda.net/id/8ee3a752e4e</id>
<updated>2018-11-10T14:17:17+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-139#top" />
<content type="html">&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-139/sieppaa-jpg#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-139/sieppaa-jpg:file/photo/213a3595efe4f30da18b4d3052c7c625260cf74a/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;</content>
<published>2018-11-10T14:17:14+02:00</published>
</entry>

<entry>
<title>Tehtävä 138</title>
<id>https://peda.net/id/1491d1aee4e</id>
<updated>2018-11-10T14:14:06+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-136#top" />
<content type="html">a) &lt;br/&gt;&#10;Tuloperiaatteen mukaan luvun kuusi voi saada yhdessä heittosarjassa &lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=6%5Ccdot5%5Ccdot4%5Ccdot3%3D360&quot; alt=&quot;6\cdot5\cdot4\cdot3=360&quot;/&gt;&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;6 heittosarjaa</content>
<published>2018-11-10T14:13:49+02:00</published>
</entry>

<entry>
<title>Tehtävä 135</title>
<id>https://peda.net/id/97b79ffae4d</id>
<updated>2018-11-10T13:46:13+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-135#top" />
<content type="html">a) &lt;br/&gt;&#10;&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-135/sieppaa-jpg#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-135/sieppaa-jpg:file/photo/3863e6122657e487318222625d7f2e01e1a9b2d4/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-135/sieppaa-jpg2#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-135/sieppaa-jpg2:file/photo/9f43fb74a150cb738abf8d025dddbdee96036068/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-135/sieppaa-jpg3#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-135/sieppaa-jpg3:file/photo/cb070c749dff7260f9186e9148d28ed2d490f244/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;</content>
<published>2018-11-10T13:41:41+02:00</published>
</entry>

<entry>
<title>Tehtävä 134</title>
<id>https://peda.net/id/8197963ee33</id>
<updated>2018-11-08T11:41:45+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-134#top" />
<content type="html">a)6 erilaista&lt;br/&gt;&#10;b)12 lippua</content>
<published>2018-11-08T11:41:45+02:00</published>
</entry>

<entry>
<title>Tehtävä 133</title>
<id>https://peda.net/id/766fc318e33</id>
<updated>2018-11-08T11:34:20+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-133#top" />
<content type="html">&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-133/sieppaa-jpg#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-133/sieppaa-jpg:file/photo/05c5410c603a92aca9e2c0a65cf3a5edf5048da2/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;</content>
<published>2018-11-08T11:34:17+02:00</published>
</entry>

<entry>
<title>Tehtävä 132</title>
<id>https://peda.net/id/03d55660e33</id>
<updated>2018-11-08T11:31:08+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-132#top" />
<content type="html">&lt;span class=&quot;editor underline&quot;&gt;&lt;/span&gt;&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-132/sieppaa-jpg#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-132/sieppaa-jpg:file/photo/9fff9adda452c35c0084b0570ed493a5b63da591/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;</content>
<published>2018-11-08T11:31:05+02:00</published>
</entry>

<entry>
<title>Tehtävä 131</title>
<id>https://peda.net/id/d191c98ce33</id>
<updated>2018-11-08T11:26:15+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-131#top" />
<content type="html">a) &lt;br/&gt;&#10;&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-131/sieppaa-jpg#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-131/sieppaa-jpg:file/photo/c31e9ee8ed9cc733029f7f3dc44762594be88e7b/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-131/sieppaa-jpg2#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-131/sieppaa-jpg2:file/photo/c82b7ce03b29f61bfb438ed73f7d11f5c5027d1e/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;</content>
<published>2018-11-08T11:22:31+02:00</published>
</entry>

<entry>
<title>Tehtävä 130</title>
<id>https://peda.net/id/6e9834f6e33</id>
<updated>2018-11-08T11:19:45+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-130#top" />
<content type="html">a)&lt;br/&gt;&#10;10000&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;30000sekuntia = 500jaettuna 60 = 8.20tuntia&lt;br/&gt;&#10;&lt;br/&gt;&#10;</content>
<published>2018-11-08T11:19:45+02:00</published>
</entry>

<entry>
<title>Tehtävä 129</title>
<id>https://peda.net/id/4af091dee33</id>
<updated>2018-11-08T11:11:35+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-129#top" />
<content type="html">a) 7&lt;br/&gt;&#10;b)6&lt;br/&gt;&#10;c)840</content>
<published>2018-11-08T11:11:35+02:00</published>
</entry>

<entry>
<title>Tehtävä 128</title>
<id>https://peda.net/id/adc87552e33</id>
<updated>2018-11-08T11:07:12+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-128#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ccdot5%5Ccdot3%3D30&quot; alt=&quot;2\cdot5\cdot3=30&quot;/&gt;</content>
<published>2018-11-08T11:07:12+02:00</published>
</entry>

<entry>
<title>Tehtävä 127</title>
<id>https://peda.net/id/7f552058e33</id>
<updated>2018-11-08T11:05:56+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-127#top" />
<content type="html">&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-127/sieppaa-jpg#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-127/sieppaa-jpg:file/photo/fd0756a3d9e7e597a1535be7f492fa583e7e21b2/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;</content>
<published>2018-11-08T11:05:54+02:00</published>
</entry>

<entry>
<title>Tehtävä 126</title>
<id>https://peda.net/id/453d15cee33</id>
<updated>2018-11-08T11:04:20+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-126#top" />
<content type="html">&lt;p&gt;a) 3628800&lt;br/&gt;&#10;b)&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=12%5Ccdot11%5Ccdot10%5Ccdot9%5Ccdot8%5Ccdot7%5Ccdot6%5Ccdot5%5Ccdot4%5Ccdot3%5Ccdot2%5Ccdot1&quot; alt=&quot;12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1&quot;/&gt;&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;&lt;a href=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-126/sieppaa-jpg#top&quot; title=&quot;Sieppaa.JPG&quot;&gt;&lt;img src=&quot;https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-126/sieppaa-jpg:file/photo/1c0a55f421f385e3c076204304999ee7a236e30f/Sieppaa.JPG&quot; alt=&quot;&quot; title=&quot;Sieppaa.JPG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;&lt;/p&gt;&#10;</content>
<published>2018-11-08T11:04:16+02:00</published>
</entry>

<entry>
<title>Tehtävä 125</title>
<id>https://peda.net/id/6488157ae33</id>
<updated>2018-11-08T10:50:50+02:00</updated>
<link href="https://peda.net/p/samuel.karjalainen/mab5/pt/1tjk/teht%C3%A4v%C3%A4-125#top" />
<content type="html">a) &lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=4%5Ccdot3%5Ccdot2%5Ccdot1%5C%20%3D%5C%2024&quot; alt=&quot;4\cdot3\cdot2\cdot1\ =\ 24&quot;/&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=6!%3D6%5Ccdot5%5Ccdot4%5Ccdot3%5Ccdot2%5Ccdot1%3D720&quot; alt=&quot;6!=6\cdot5\cdot4\cdot3\cdot2\cdot1=720&quot;/&gt;&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=3!%5Ccdot2!%3D12&quot; alt=&quot;3!\cdot2!=12&quot;/&gt;</content>
<published>2018-11-08T10:50:50+02:00</published>
</entry>


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