document.write( "Question 1149279: Seven orchids from a collection of 23 are to be selected for a flower show. Complete parts​ (a) and​ (b) below
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Algebra.Com's Answer #770620 by ikleyn(52778)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "(a)  Seven items can be selected from 23 different items by  \"C%5B23%5D%5E7\" ways\r\n" );
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document.write( "         \"C%5B23%5D%5E7\" = \"%2823%2A22%2A21%2A20%2A19%2A18%2A17%29%2F%281%2A2%2A3%2A4%2A5%2A6%2A7%29\" = 245157 ways.\r\n" );
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document.write( "     It is the number of COMBINATIONS in this case.\r\n" );
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document.write( "(b)  In this case you are allowed to select only 7-3=4 items from 23-3 = 20 items.\r\n" );
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document.write( "     It can be done by  \"C%5B20%5D%5E4\"  ways.\r\n" );
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document.write( "     This time, calculate the value ON YOUR OWN.\r\n" );
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document.write( "     Happy calculations (!)\r\n" );
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\n" ); document.write( "\n" ); document.write( "-------------------\r
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\n" ); document.write( "\n" ); document.write( "On Combinations,  see introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Combinations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Combinations\r
\n" ); document.write( "\n" ); document.write( "    - Problems on Combinations\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\r
\n" ); document.write( "\n" ); document.write( "in this site.\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 lessons are 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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\n" ); document.write( "\n" ); document.write( "Do not forget to submit your \"THANKS\" to me (!)\r
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