document.write( "Question 1076953: How many ways can three indistinguishable dots be arranged in five different boxes?\r
\n" ); document.write( "\n" ); document.write( "Ex: [*][*][*][ ][ ]\r
\n" ); document.write( "\n" ); document.write( "Swapping one dot with another will make no difference, as all the dots are indistinguishable. \n" ); document.write( "

Algebra.Com's Answer #691584 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "How many ways can three indistinguishable dots be arranged in five different boxes?\r
\n" ); document.write( "\n" ); document.write( "Ex: [*][*][*][ ][ ]\r
\n" ); document.write( "\n" ); document.write( "Swapping one dot with another will make no difference, as all the dots are indistinguishable.
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "1.  There are 5 ways to put 3 dots into ONE of 5 boxes.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  There are 5*4 = 20 ways to put 2 dots in one of 5 boxes and 1 dot to one of 4 remaining boxes.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3.  There are  = 10 ways to put 3 dots into 5 boxes keeping no more than 1 dot in each box.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4. In all, it gives 5 + 20 + 10 = 35 for the number under the question.\r\n" );
document.write( "

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

\n" );