document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87092>Question 87092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with these two problems can someone help me, I know they are long but i am in a big \"?\" ......thanks\r<BR>\n" );
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document.write( "Problem #1<BR>\n" );
document.write( "Wind has different books to arrange on a shelf: 4 blue, 3 green, and 2 red. <BR>\n" );
document.write( "a) In how many ways can the books be arranges on a shelf?<BR>\n" );
document.write( "b) If books of hte same color are to be grouped together, how many arrangements are possible?<BR>\n" );
document.write( "c) In how many distinguishable ways can the books be arranged inf books of the same color are indentical but need not to be grouped together?<BR>\n" );
document.write( "d) In how many ways can you select 3 books , one of each color, if the order in which the books are selected does not matter?\r<BR>\n" );
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document.write( "Problem #2<BR>\n" );
document.write( "How many 7-digit telephone numbers are possible if the first digit cannot be zero and <BR>\n" );
document.write( "a) only odd digits may be used?<BR>\n" );
document.write( "b) the telephone number must be a multiple of 10 (that is, it must end in zero)?<BR>\n" );
document.write( "c)the telephone number must be a multiple of 100?<BR>\n" );
document.write( "d)the first 3 digits are 481?<BR>\n" );
document.write( "e) no repetitions are  allowed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63158 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=63158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Problem #1<BR>\n" );
document.write( "Wind has different books to arrange on a shelf: 4 blue, 3 green, and 2 red. <BR>\n" );
document.write( "a) In how many ways can the books be arranged on a shelf?<BR>\n" );
document.write( "Answer: 9! = 362880<BR>\n" );
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document.write( "b) If books of the same color are to be grouped together, how many arrangements are possible?<BR>\n" );
document.write( "Answer: 3! = 6<BR>\n" );
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document.write( "c) In how many distinguishable ways can the books be arranged if books of the same color are indentical but need not to be grouped together?<BR>\n" );
document.write( "Answer: 9!/[4!*3!*2!]<BR>\n" );
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document.write( "d) In how many ways can you select 3 books , one of each color, if the order in which the books are selected does not matter? <BR>\n" );
document.write( "Answer: 4*3*2 = 24<BR>\n" );
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document.write( "Problem #2<BR>\n" );
document.write( "How many 7-digit telephone numbers are possible if the first digit cannot be zero and <BR>\n" );
document.write( "a) only odd digits may be used?<BR>\n" );
document.write( "Answer: 5^7 = 8125<BR>\n" );
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document.write( "b) the telephone number must be a multiple of 10 (that is, it must end in zero)?<BR>\n" );
document.write( "Answer: 10^6*1 = 100,000<BR>\n" );
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document.write( "c)the telephone number must be a multiple of 100?<BR>\n" );
document.write( "10^5*1*1 = 100,000<BR>\n" );
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document.write( "d)the first 3 digits are 481?<BR>\n" );
document.write( "Answer: 1*1*!*10^4 = 10,000<BR>\n" );
document.write( "e) no repetitions are allowed?<BR>\n" );
document.write( "Answer: 10C7 = 120<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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