document.write( "Question 945817: At bus stop, there are 11 people queueing, 7adults 4chilcdren. Calculate number of arrangements of these 11people such that FIRST and LAST people in the queue are adults? \n" ); document.write( "

Algebra.Com's Answer #577009 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!
At bus stop, there are 11 people queueing, 7 adults and 4 chilcdren. Calculate
\n" ); document.write( "the number of arrangements of these 11 people such that FIRST and LAST people in
\n" ); document.write( "the queue are adults?
\n" ); document.write( "

\r\n" );
document.write( "   (There are 7 ADULTS.)\r\n" );
document.write( "Choose the FIRST (1st) PERSON as any of those 7 ADULTS.\r\n" );
document.write( "   (There are now 6 ADULTS remaining.)\r\n" );
document.write( "Choose the LAST (11th) PERSON as any of those 6 remaining ADULTS.\r\n" );
document.write( "\r\n" );
document.write( "   (There are now 9 PEOPLE remaining.)\r\n" );
document.write( "Choose the 2nd PERSON as any of those 9 remaining PEOPLE.\r\n" );
document.write( "   (There are now 8 PEOPLE remaining.)\r\n" );
document.write( "Choose the 3rd PERSON as any of those 8 remaining PEOPLE. \r\n" );
document.write( "   (There are now 7 PEOPLE remaining.)\r\n" );
document.write( "Choose the 4th PERSON as any of those 7 remaining PEOPLE.\r\n" );
document.write( "   (There are now 6 PEOPLE remaining.)\r\n" );
document.write( "Choose the 5th PERSON as any of those 6 remaining PEOPLE.\r\n" );
document.write( "   (There are now 5 PEOPLE remaining.)\r\n" );
document.write( "Choose the 6th PERSON as any of those 5 remaining PEOPLE.\r\n" );
document.write( "   (There are now 4 PEOPLE remaining.)\r\n" );
document.write( "Choose the 7th PERSON as any of those 4 remaining PEOPLE.\r\n" );
document.write( "   (There are now 3 PEOPLE remaining.)\r\n" );
document.write( "Choose the 8th PERSON as any of those 3 remaining PEOPLE.\r\n" );
document.write( "   (There are now 2 PEOPLE remaining.)\r\n" );
document.write( "Choose the 9th PERSON as either of those 2 remaining PEOPLE.\r\n" );
document.write( "   (There is now only 1 PERSON remaining.)\r\n" );
document.write( "Choose the 10th PERSON as that 1 remaining PERSON.\r\n" );
document.write( "\r\n" );
document.write( "7*6*9*8*7*6*5*4*3*2*1 = 7P2*9P9 = 15240960 ways.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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

\n" );