<PRE><B>Question 1179169</B>
.
&lt;pre&gt;

There are 2! =  2 permutations inside the block of 2 Physics books;

          4! = 24 permutations inside the block of 2 Math books;  and

          3! =  6 permutations inside the block of 3 Chemistry books.


Also, there are 3! = 6 permutations of these 3 blocks as whole items.


THEREFORE, the are  2*24*6*6 = 1728 different permutations under the posed conditions, in all.
&lt;/pre&gt;

Solved, answered, explained and completed.


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On permutations, see the lessons

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF =http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Permutations.lesson&gt;Introduction to Permutations&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF =http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-permutations.lesson&gt;PROOF of the formula on the number of Permutations&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF =http://www.algebra.com/algebra/homework/Permutations/Problems-on-Permutations.lesson&gt;Simple and simplest problems on permutations&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF =https://www.algebra.com/algebra/homework/Permutations/Special-type-permutations-problems.lesson&gt;Special type permutations problems&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF =https://www.algebra.com/algebra/homework/Permutations/How-many-different-permutations-may-exist-ubder-given-restrictions.lesson&gt;Problems on Permutations with restrictions&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF =https://www.algebra.com/algebra/homework/Permutations/Fundamental-counting-principle-problems.lesson&gt;Fundamental counting principle problems&lt;/A&gt; 

in this site.


Also, &amp;nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson&gt;ALGEBRA-II - YOUR ONLINE TEXTBOOK&lt;/A&gt;.


The referred lessons are the part of this online textbook under the topic &amp;nbsp;&quot;&lt;U&gt;Combinatorics: Combinations and permutations&lt;/U&gt;&quot;. 



Save the link to this textbook together with its description


Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson


into your archive and use when it is needed.



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Do not forget to post your &amp;nbsp;&quot;THANKS&quot; &amp;nbsp;for my teaching.



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