document.write( "Question 1172438: Trish has a penny, 3 nickels, 4 dimes, and 3 quarters in her pocket. How many different arrangements are possible if she removes one coin at a time from her pocket? \"46,200\" \n" ); document.write( "
Algebra.Com's Answer #797464 by ikleyn(52790)\"\" \"About 
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document.write( "According to the condition, there is 1 (one) penny;  3 undistinguishable nickels; 4 undistinguishable dimes \r\n" );
document.write( "and 3 undistinguishable quarters.\r\n" );
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document.write( "In all, there are 1 + 3 + 4 + 3 = 11 coins.\r\n" );
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document.write( "The number of distinguishable arrangements is\r\n" );
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document.write( "    N = \"11%21%2F%283%21%2A4%21%2A3%21%29\" = \"%2811%2A10%2A9%2A8%2A7%2A6%2A5%29%2F%286%2A6%29\" = 46200,\r\n" );
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document.write( "which is exactly the number anticipated in your post.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Arranging elements of sets containing indistinguishable elements \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic  \"Combinatorics: Combinations and permutations\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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