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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.
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