If there are 12 students and a teacher can only choose 5 how many different ways can the teacher choose 5 students?

12P5

= 12!/(12 - 5)!

= 12!/7!

= (12 x 11 x 10 x 9 x 8 x 7!)/7!

= 12 x 11 x 10 x 9 x 8

= 95,040 ways

or

The first student has 12 chances,

the second students has 11 chances,

the third student has 10 chances,

the fourth student has 9 chances, and

the fifth student has 8 chances.

Thus, there are 95,040 ways (12 x 11 x 10 x 9 x 8) to chose five students from 12 students.