document.write( "Question 1202441: Mrs. Green likes to serve two different kinds of vegetables with dinner. She has carrots, peas, okra, and green beans in her refrigerator . How many different sets of two vegetables can be serve? Tell wether this situation is a combination or permutation. \n" ); document.write( "

Algebra.Com's Answer #837284 by ikleyn(52914) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Mrs. Green likes to serve two different kinds of vegetables with dinner. She has carrots, peas, okra, and green beans
\n" ); document.write( "in her refrigerator . How many different sets of two vegetables can be serve? Tell wether this situation is a combination or permutation.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        As the problem is written, it is CLEAR that the reader is just FAMILIAR \r
\n" ); document.write( "\n" ); document.write( "        with conceptions of combinations and permutations and only wants to choose \r
\n" ); document.write( "\n" ); document.write( "        correctly between these conceptions to solve the problem in a right way.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "In this problem, the order of vegetables does not matter (at least, the problem \r\n" );
document.write( "is silent about it, so by default and based on common sense, we can assume it).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "If so, we use the conception of COMBINATIONS and do not use the conception of permutations.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The possible number of different combinations of 4 types of vegetables\r\n" );
document.write( "taken two at a time is\r\n" );
document.write( "\r\n" );
document.write( "     =  = 2*3 = 6.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The magic number of 4 is the number of different vegetables in her refrigerator.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "On Combinations and Permutations, see introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Permutations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Permutations\r
\n" ); document.write( "\n" ); document.write( "    - Simple and simplest problems on permutations\r
\n" ); document.write( "\n" ); document.write( "    - Special type permutations problems \r
\n" ); document.write( "
\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( "\n" ); document.write( "in this site. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );