document.write( "Question 503945: Mrs. Hernandez wants to put a picture of each of her 3 children on a shelf above her desk. In how many ways can she line up the pictures? \n" ); document.write( "

Algebra.Com's Answer #339457 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Call the pictures $\"a\"$ , $\"b\"$ , and $\"c\"$
\n" ); document.write( "The orderings are:
\n" ); document.write( "a b c
\n" ); document.write( "b c a
\n" ); document.write( "c a b
\n" ); document.write( "b a c
\n" ); document.write( "a c b
\n" ); document.write( "c b a
\n" ); document.write( "there are 6 different ways to arrange he pictures
\n" ); document.write( "the way to calculate it is:
\n" ); document.write( "(3 possible in 1st position)x(2 left in 2nd position)x( 1 left for last position) = 6 different ways
\n" ); document.write( "You would need to calculate this way if there
\n" ); document.write( "were 10 children:
\n" ); document.write( " $\"+10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1+=+3628800+\"$ possible orders \n" ); document.write( "

\n" );