document.write( "Question 1206563: Suppose a designer has a palette of 11 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.\r
\n" ); document.write( "\n" ); document.write( "How many possible flags can be created?
\n" ); document.write( "

Algebra.Com's Answer #852189 by ikleyn(52777)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Suppose a designer has a palette of 11 colors to work with, and wants to design
\n" ); document.write( "a flag with 4 vertical stripes, all of different colors.\r
\n" ); document.write( "\n" ); document.write( "How many possible flags can be created?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "First  vertical strip can be any of 11 colors.\r\n" );
document.write( "\r\n" );
document.write( "Second vertical strip can be any of remaining 10 colors.\r\n" );
document.write( "\r\n" );
document.write( "Third  vertical strip can be any of remaining  9 colors.\r\n" );
document.write( "\r\n" );
document.write( "Fourth vertical strip can be any of remaining  8 colors.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, the total number of differently colored flags is the product\r\n" );
document.write( "of four integer numbers, starting from 11, in descending order\r\n" );
document.write( "\r\n" );
document.write( "    11*10*9*8 = 7920.    <<<---===  ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );