document.write( "Question 879972: Consider a bench on which six student can sit .In how many ways can 3 girls and 3 boys sit on the bench if no girls sit next to one another and also no boys sit next to one another?it is related with permutation and combination \n" ); document.write( "
Algebra.Com's Answer #531167 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! The way I see it is: \n" ); document.write( "You can have: \n" ); document.write( "BGBGBG \n" ); document.write( "or \n" ); document.write( "GBGBGB \n" ); document.write( "---------- \n" ); document.write( "In the 1st case, you have: \n" ); document.write( "(1) 3 choices for a boy \n" ); document.write( "(2) 3 choices for a girl \n" ); document.write( "(3) 2 remaining choices for a boy \n" ); document.write( "(4) 2 remaining choices for a girl \n" ); document.write( "(5) 1 remaining choice for a boy \n" ); document.write( "(6) 1 remaining choice for a girl \n" ); document.write( "----------------------------- \n" ); document.write( "In the 2nd case, you have: \n" ); document.write( "(1) 3 choices for a girl \n" ); document.write( "(2) 3 choices for a boy \n" ); document.write( "(3) 2 remaining choices for a girl \n" ); document.write( "(4) 2 remaining choices for a boy \n" ); document.write( "(5) 1 remaining choice for a girl \n" ); document.write( "(6) 1 remaining choice for a boy \n" ); document.write( "------------------------------- \n" ); document.write( "Possible seatings total: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "72 possible ways\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |