document.write( "Question 511023: You have 7 sweaters that you want to take on vacation but only have enough room to pack 4 sweaters in your suitcase. How many different combinations of sweaters can you bring? \n" ); document.write( "
Algebra.Com's Answer #341982 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
Use
\n" ); document.write( "nCr=n!/r!(n-r)!\r
\n" ); document.write( "\n" ); document.write( "Given
\n" ); document.write( "n=7, r=4
\n" ); document.write( "nCr=n!/r!(n-r)!
\n" ); document.write( "nCr=7!/4!(7-4)!
\n" ); document.write( "nCr=7!/4!3!
\n" ); document.write( "nCr=7*6*5*4!/4!3!
\n" ); document.write( "Cancel our 4!
\n" ); document.write( "nCr=7*6*5/3!
\n" ); document.write( "nCr=7*6*5/3*2*1
\n" ); document.write( "nCr=210/6
\n" ); document.write( "nCr=35\r
\n" ); document.write( "\n" ); document.write( "35 Combinations.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );