a science teacher needs to choose 12 out of 16 students to serve as peer tutors how many different ways can the teacher choose t
2 answers:
Answer: There are 1820 ways to choose the 12 students.
Step-by-step explanation:
Since we have given that
Total number of students are there = 16
Number of students a science teacher needs to choose = 12
We need to find the number of ways:
We would use "Combination" to find the number of ways :
So, Number of ways would be
Hence, there are 1820 ways to choose the 12 students.
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First, we are going to want to plug in the values we are given. In this case, we will end up with the equation:
From here, we can solve the equation to find :
- Apply the commutative property to rearrange the terms on the right-side of the equation to make the distributive property more apparent
- Apply the distributive property
- Subtract 8 from both sides of the equation
- Divide both sides of the equation by -2
We have found that c = 1.