document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171338>Question 1171338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bookshelf displays different types of books, 6 books in English (E) and 5 books in Spanish (S). If 4 books are chosen among the English language books and 3 are selected from the Spanish language books, calculate how many ways can the 7 books be arranged on a shelf given that<BR>\n" );
document.write( "i)	There are no restrictions (no concern on the sequence)?<BR>\n" );
document.write( "ii)	4 English books must put together?<BR>\n" );
document.write( "iii)	English and Spanish books must put alternately (i.e. ESESESE).\r<BR>\n" );
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document.write( "Please help me with these questions. I am confused. Do I need to apply the combinations method first in order to select the books? or I can just directly solve this problem by using permutation? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796294 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "i:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 7!\">\r<BR>\n" );
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document.write( "ii: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4!\,\times\,3!\,\times\,4\">\r<BR>\n" );
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document.write( "iii: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4!\,\times\,3!\">\r<BR>\n" );
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document.write( "You can do your own arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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