A science teacher needs to choose 12 students out of 16 to serve as peer tutors how many different ways can the teacher choose the12 students
Mathematics · High School · Thu Feb 04 2021
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Given the statement:
A science teacher needs to choose 12 students out of 16 to serve as peer tutors.
Determine how many ways can the teacher choose the 12 students.
Solution:
In order to determine how many ways that the teacher can choose the 12 students, we simply needed to use the combination formula.
nCr = n!/( n - r)! r!
16C12 = 16! / (16 - 12)! 12!
16C12 = 1820
Final answer:
The teacher can choose the 12 students in 1820 ways.