Question

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There are 10 students in a class. The teacher chooses 3 students to go to the library. The order in which they are chosen does not matter. How many ways are there to choose the students ?

Answer 1

Answer: c 120

Step-by-step explanation:

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Answer 2

A class consists of ten individuals. The instructor selects three kids to accompany her to the library. It makes no difference in whatever sequence they are picked. There are 120 options for selecting pupils.

What are permutations and combinations?

A permutation is a process of putting items or pieces in a certain order. Combinations are a method of picking things or pieces from a set of objects or collections when the order of the objects is irrelevant.

No of student=10

Students to be choosen=3

The ways are there to choose the students are found with the help of combination as;

If n is the number of the ways:

n= 10C₃

$\rm nCr = \frac{n!}{r!(n-r)!}$

Where n is the total of students and r is the teacher to be chosen:

$\rm 10 C_3= \frac{10 !}{3!7!}\\\\ 10 C_3= \frac{3628800}{30240} \\\\ n=120$

Hence, there is 120 no of ways are there to choose a student.

To learn more about permutations and combinations, refer to:

https://brainly.com/question/11958814

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