There is a puzzling word in this problem . . .
I will ignore the word "each."4. A teacher organizing a field trip finds that 50 students have signed up.
However, the bus has only 47 seats, so a few students will have to travel by car.
The teacher and one other supervisor must go on the bus.
Explain two different methods for using combinations to find
how each teacher can choose which students go on the bus.
Do both teachers participate in the decisions? .If so, how?
Show that both methods produce the same answer.
Two teachers and 45 students will ride on the bus.
The other five students will travel by car.
 Choose the 45 students to ride on the bus: . ways.
 Choose the 5 students to ride in the car: . ways.