document.write( "Question 1189563: If the grocery store has 15 different kinds of fruit and 10 different kinds of canned soup, in how many ways can Michael choose 2 different kinds of fruit and 3 different kinds of soup to buy?
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Algebra.Com's Answer #820949 by ikleyn(52792)\"\" \"About 
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document.write( "2 different kinds of fruit:  \"C%5B15%5D%5E2\" = \"%2815%2A14%29%2F2\" = 105 different ways to select.\r\n" );
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document.write( "3 different kinds of soup:  \"C%5B10%5D%5E3\" = \"%2810%2A9%2A8%29%2F%281%2A2%2A3%29\" = 120 different ways to select.\r\n" );
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document.write( "Combining fruit and soups purchases:  105*120 = 12600  different ways to combine.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "This problem uses two conceptions of Combinatorics: (a) combinations, and (b) the Fundamental counting principle.\r
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\n" ); document.write( "\n" ); document.write( "To get familiar with these conceptions and to see many other similar and different solved problems of this kind,
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\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
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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
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