document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871528>Question 871528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would be so grateful if you could assist. I have a very simple question, I believe, which is as follows.  \r<BR>\n" );
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document.write( "A Hebrew word consists of 3 consonants, and the Hebrew alphabet of 22 consonants.  <BR>\n" );
document.write( "How many permutations of 3 can be extracted from 22?  <BR>\n" );
document.write( "Also how many permutations of 2 consonants and how many of 4?  \r<BR>\n" );
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document.write( "The answer should provide a theoretical maximum for the number of Hebrew words in existence, now and/or in the past.  The numbers will form part of some research on the Hebrew origins of English.\r<BR>\n" );
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document.write( "I hope you can help.  I have done a calculation myself, but don't trust my own judgement, I regret.  Such was algebra when I was at school.\r<BR>\n" );
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document.write( "Danny Israel.\r<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 #525576 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20055)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=525576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Hebrew word consists of 3 consonants, and the Hebrew alphabet of 22 consonants. <BR>\n" );
document.write( "How many permutations of 3 can be extracted from 22?<BR>\n" );
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document.write( "I will assume the consonants do not have to be different.\r\n" );
document.write( "That is, they could be like XXZ, XZZ or even XXX.\r\n" );
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document.write( "Then there would be 26×26×26 = 17,576\r\n" );
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document.write( "Also how many permutations of 2 consonants <BR>\n" );
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document.write( "22×22 = 484\r\n" );
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document.write( "and how many of 4?<BR>\n" );
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document.write( "22×22×22×22 = 234,256\r\n" );
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document.write( "The numbers would be fewer if there are rules about using the \r\n" );
document.write( "same letter.  FI, if, say, as in English, there cannot be more \r\n" );
document.write( "than 2 of the same letter in a row.  Also in English, words do\r\n" );
document.write( "not end in j, v, or q, and few end in vowels other than e. Few\r\n" );
document.write( "words begin with a double letter. q must be followed by u.\r\n" );
document.write( "Many spelling rules will reduce the numbers.  Also, are there \r\n" );
document.write( "no vowels in Hebrew? \r\n" );
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document.write( "Edwin</PRE>    </SPAN>\n" );
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