document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=415765>Question 415765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A) Consider an alphabet, consisting of 9 distinct symbols from which strings (words) of length 4 that do not use the same symbol twice are to be formed. How many possible words are<BR>\n" );
document.write( "there?\r<BR>\n" );
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document.write( "B) if we suppose that the 4 symbols are chosen uniformly randomly with replacement,<BR>\n" );
document.write( "(i.e. equal probability of selection true each time), what is the probability that a string will be formed in which no symbol is utilised more than once? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291414 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=291414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) Consider an alphabet, consisting of 9 distinct symbols from which strings (words) of length 4 that do not use the same symbol twice are to be formed. <BR>\n" );
document.write( "How many possible words are there? <BR>\n" );
document.write( "Ans: 9*8*7*6<BR>\n" );
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document.write( "B) if we suppose that the 4 symbols are chosen uniformly randomly with replacement, (i.e. equal probability of selection true each time), what is the probability that a string will be formed in which no symbol is utilised more than once?<BR>\n" );
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document.write( "Ans: [9*8*7*6/9^4]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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