document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58276>Question 58276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help in this Q plz <BR>\n" );
document.write( "10) The letters of word ALGEBRA <BR>\n" );
document.write( "a- How many diffrent ways the letters can be arranged in a row ?<BR>\n" );
document.write( "b- In how many ways of these arrangments the two A's are together?<BR>\n" );
document.write( "c- In how many ways of these arrangments the two A's are not together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39954 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=39954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll take a stab at it- I could be wrong, though<BR>\n" );
document.write( "Suppose ALGEBRA didn't have 2 A's?<BR>\n" );
document.write( "Suppose it was ALGEBRX instead<BR>\n" );
document.write( "Then I could pick 7 different letters for the first letter<BR>\n" );
document.write( "I'd have 6 different letters to choose from for the 2nd letter<BR>\n" );
document.write( "I'd have 5 different letters to choose from for the 3rd letter<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "The number of combinations would be<BR>\n" );
document.write( "7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040<BR>\n" );
document.write( "but X and A are treated differently<BR>\n" );
document.write( "A . . . . .X<BR>\n" );
document.write( "X . . . . .A<BR>\n" );
document.write( "and<BR>\n" );
document.write( ".A . . . . .X<BR>\n" );
document.write( ".X . . . . .A<BR>\n" );
document.write( "All these paired A's and X's should be treated as a single A . . . . .A pair<BR>\n" );
document.write( "so, divide 5040 by 2. <BR>\n" );
document.write( "5040 / 2 = 2520 possible words from ALGEBRA<BR>\n" );
document.write( "The double AA can be 1st , second, third, etc<BR>\n" );
document.write( "AA  . . . . .<BR>\n" );
document.write( " . AA . . . .<BR>\n" );
document.write( " . . AA . . . <BR>\n" );
document.write( " . . . AA . .<BR>\n" );
document.write( " . . . . AA .<BR>\n" );
document.write( " . . . . . AA<BR>\n" );
document.write( "That's 6 different ways AA can appear<BR>\n" );
document.write( "The words without the AA is simply 2520 - 6 = 2514 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );