If 95 students are trying out for 40 positions on the high school football team, then how many ways can the 40 positions be filled?

Because 95 students are involved, n = 95.

40 positions to be filled indicates r = 40.

Evaluate 95P40 .

Use the formula:

 

The factorials are too large to calculate directly; therefore, use the nPr function on your calculator to evaluate 95P40 .

 

 

 

To the nearest whole number, there are 8 × 1074 ways to fill the 40 spots of the high school football team.