document.write( "Question 1058727: In how many ways can 2 men,4 women,3 boys and 3 girls be selected from 6 men, 8 women,4 boys and 5 girls if no restrictions are imposed \n" ); document.write( "
Algebra.Com's Answer #673815 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "In how many ways can 2 men, 4 women, 3 boys and 3 girls be selected from 6 men, 8 women, 4 boys and 5 girls if no restrictions are imposed
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "\"C%5B6%5D%5E2\" = \"%286%2A5%29%2F%281%2A2%29\" = 3*5 = 15 ways for men.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"C%5B8%5D%5E4\" = \"%288%2A7%2A6%2A5%29%2F%281%2A2%2A3%2A4%29\" = 7*2*5 = 70 ways for women.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"C%5B4%5D%5E3\" = 4 ways for boys.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"C%5B5%5D%5E3\" = \"%285%2A4%2A3%29%2F%281%2A2%2A3%29\" = 5*2 = 10 ways for girls.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In total, 15*70*4*10 ways.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "This problem is about combinations. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "On combinations, see the 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( "in this site.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Combinatorics: Combinations and permutations\". \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );