document.write( "Question 1018796: In a box there are: 7 red books, 5 white books, and 6 blue books. Three books are selected.
\n" ); document.write( "How many different ways can this be done if the selection:
\n" ); document.write( "(a) must contain one of each color? c(7,1)c(5,1)c(6,1)= 210
\n" ); document.write( "(b) must contain all the same color? c(7,3)+c(5,3)+c(6,3)=65
\n" ); document.write( "(c) must include more than one color? I'm not sure how to set this up can you please guide me through?
\n" ); document.write( "

Algebra.Com's Answer #636445 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
(c) must include more than one color?
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "There are 7+5+6 = 18 books.\r\n" );
document.write( "We can choose 3 book any of c(18,3) = 816 ways.\r\n" );
document.write( "\r\n" );
document.write( "But, from those 816 ways to choose any 3 books, we\r\n" );
document.write( "must subtract the number of ways they were all\r\n" );
document.write( "the same color, which you found correctly to be \r\n" );
document.write( "65 in part (b).  c(7,3)+c(5,3)+c(6,3)=65\r\n" );
document.write( "\r\n" );
document.write( "Answer: 816-65 = 751 ways.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "
\n" ); document.write( "
\n" );