document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057049>Question 1057049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small combination lock on a suitcase has 5 wheels, each labeled with the 10 digits 0 to 9. how many 5-digit combinations are possible if digits can be repeated? (hint: the word combination is a misnomer. Lock combinations are not mathematical combinations because the arrangement of the numbers is important.) Please help, this is confusing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672144 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52794)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=672144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A small combination lock on a suitcase has 5 wheels, each labeled with the 10 digits 0 to 9. how many 5-digit combinations <BR>\n" );
document.write( "are possible if digits can be repeated? <BR>\n" );
document.write( "(hint: the word combination is a misnomer. Lock combinations are not mathematical combinations <BR>\n" );
document.write( "because the arrangement of the numbers is important.) Please help, this is confusing<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "10 options for the first (leftmost) wheel.  (From 0 to 9, no exclusions).\r\n" );
document.write( "10 options for the second           wheel.\r\n" );
document.write( "10 options for the 3-rd             wheel.\r\n" );
document.write( "10 options for the 4-rd             wheel.\r\n" );
document.write( "10 options for the 5-rd             wheel.\r\n" );
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document.write( "10*10*10*10*10 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E5 ALIGN=MIDDLE  ALT=\"10%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 100000.\r\n" );
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document.write( "Repeating is allowed, according to the condition.\r\n" );
document.write( "There are no any restrictions, according to the condition.\r\n" );
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document.write( "The words \"the word combination is a misnomer\" mean that zero is allowed as the first digit, if I correctly understand this term.\r\n" );
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document.write( "Wikipedia <A  rel=nofollow HREF=https://en.wikipedia.org/wiki/Misnomer>says</A>:\r<BR>\n" );
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document.write( "A misnomer is a word or term that suggests a meaning that is known to be wrong. Misnomers often arise because the thing received <BR>\n" );
document.write( "its name long before its true nature was known, or because the nature of an earlier form is no longer the norm. <BR>\n" );
document.write( "A misnomer may also be simply a word that is used incorrectly or misleadingly.[1] <BR>\n" );
document.write( "\"Misnomer\" does not mean \"misunderstanding\" or \"popular misconception\",[1] and many misnomers remain in legitimate use <BR>\n" );
document.write( "(that is, being a misnomer does not always make a name incorrect).\r<BR>\n" );
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document.write( "The other popular source <A  rel=nofollow HREF=http://www.dictionary.com/browse/misnomer>says</A>\r<BR>\n" );
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document.write( "1.  a misapplied or inappropriate name or designation.\r<BR>\n" );
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document.write( "2.  an error in naming a person or thing.\r<BR>\n" );
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document.write( "Not very meaningful explanations for me.<BR>\n" );
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document.write( "O-o-o!!! I got the meaning of the <U>hint</U>.\r<BR>\n" );
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document.write( "They want to say that their word \"combination\" is NOT the term from Combinatorics.\r<BR>\n" );
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document.write( "The word \"combination\" in their context is simply \"the word comprising of digits\".\r<BR>\n" );
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document.write( "OK, I understand it exactly in this sense/meaning.\r<BR>\n" );
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document.write( "By the way, on Combinations and Permutations see the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Permutations.lesson>Introduction to Permutations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-permutations.lesson>PROOF of the formula on the number of Permutations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Problems-on-Permutations.lesson>Problems on Permutations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-combinations.lesson>PROOF of the formula on the number of Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Problems-on-Combinations.lesson>Problems on Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Permutations/OVERVIEW-the-lessons-on-Permutations-and-Combinations.lesson>OVERVIEW of lessons on Permutations and Combinations</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic \"<U>Combinatorics: Combinations and permutations</U>\". \r<BR>\n" );
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