document.write( "Question 1180849: A set of flash cards consists of 15 red, 12 blue, 10 black and 12 yellow cards. The cards in each colour are numbered from 1 through 15.
\n" ); document.write( "(a) How many groups of 6 cards can be selected from the entire set?
\n" ); document.write( "(b) How many groups of 6 can be selected from the red cards?
\n" ); document.write( "(c) How many groups of 24 cards can be selected from the entire set if there must be six of each colour?
\n" ); document.write( "Thank you in advance for any help:) \n" ); document.write( "

Algebra.Com's Answer #810686 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "A set of flash cards consists of 15 red, 12 blue, 10 black and 12 yellow cards. The cards in each colour are numbered from 1 through 15.
\n" ); document.write( "(a) How many groups of 6 cards can be selected from the entire set?
\n" ); document.write( "(b) How many groups of 6 can be selected from the red cards?
\n" ); document.write( "(c) How many groups of 24 cards can be selected from the entire set if there must be six of each colour?
\n" ); document.write( "Thank you in advance for any help:)
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\n" ); document.write( "\n" ); document.write( "The total number of the cards is 15 + 12 + 10 + 12 = 49.\r
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\n" ); document.write( "\n" ); document.write( "The fact that the cards of each color are numbered MEANS that the cards are DISTINGUISHABLE, even if their color is the same.\r
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\n" ); document.write( "\n" ); document.write( "The order of the cards in groups DOES NOT MATTER, so all three parts of the problem are on COMBINATIONS.\r
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document.write( "    (a)  The number of different groups of 6 cards is   = 13983816.     ANSWER\r\n" );
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document.write( "    (b)   = 5005.    ANSWER\r\n" );
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document.write( "    (c)   = 5005*924*210*924 = 897361264800.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "All questions are answered. The problem is just solved, in full.\r
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\n" ); document.write( "\n" ); document.write( "This problem is on COMBINATIONS.\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( "    - Fundamental counting principle problems \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( "\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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