document.write( "Question 862168: there are 12 seat in a bus. how many ways can 10 people occupy them? \n" ); document.write( "

Algebra.Com's Answer #519509 by Theo(13342) $\"\"$ $\"About$

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the formula used would be the permutation formula of nPx.
\n" ); document.write( "n is the number of total seats on the bus.
\n" ); document.write( "x is the number of those seats you want to occupy at one time.
\n" ); document.write( "the formula for nPx is:
\n" ); document.write( "nPx = n! / (n-x)!
\n" ); document.write( "in your problem, n is equal to 12 and x is equal to 10.
\n" ); document.write( "the formula becomes:
\n" ); document.write( "12P10 = 12! / (12-10)! which is equal to 12! / 2! which is equal to 239,500,800.
\n" ); document.write( "the permutation formula is used because the seat that is assigned to each student can be different for each possible combination of 10 seats out of the 12.
\n" ); document.write( "for example:
\n" ); document.write( "1 combination of the seats could be seats 1,2,3,4,5,6,7,8,9,10
\n" ); document.write( "for that one combination of seats, the students in those seats could be arranged in 10! ways.
\n" ); document.write( "the permutation formula takes care of the total possible combination of seats and the position of the students within those seats.\r
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