1-24 ■ Counting These exercises involve counting.
Airline Flight Bookings An airline company has overbooked a particular flight, and seven passengers must be “bumped” from the flight. If passengers are booked on this flight, in how many ways can the airline choose the seven passengers to be bumped?
The total number of ways to choose the seven passengers to be bumped.
The total booking is of passengers.
The number of passengers bumped from the flight are .
If a set has objects, then the number of ways of ordering the elements subset of the set is denoted and is called the number of permutation of objects taken at a time and given by,
Calculate the total number of ways to choose the seven passengers to be bumped.
Substitute for , and for in the above formula.
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