document.write( "Question 918989: in how many ways can we choose a signal of four flags from a collection of 10 distinct flags ( where the order is important)? \n" ); document.write( "
Algebra.Com's Answer #557375 by Hawksfan(61)![]() ![]() You can put this solution on YOUR website! Since order is important, This is a permutation. \r \n" ); document.write( "\n" ); document.write( "With combination, order doesn't matter. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The formula for permutation P = n!/(n-r)!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this case \r \n" ); document.write( "\n" ); document.write( "n = 10 the total # \n" ); document.write( "r = 4 the selected number chosen to take out of the total\r \n" ); document.write( "\n" ); document.write( "P = 10!/(10-4)! = (10*9*8*7*6*5*4*3*2*1)/6! \n" ); document.write( " = (10*9*8*7*6*5*4*3*2*1)/(6*5*4*3*2*1) = 10*9*8*7 \n" ); document.write( " = 5040 \n" ); document.write( " |