Respuesta :
Answer:
the answer is B) 210
Step-by-step explanation:
i got it right on edge 2020 :)
A dance instructor chose 4 of his 10 students to be on stage for a performance. In 210 ways the instructor chooses the four students.
What is the combination?
Each of the different groups or selections can be formed by taking some or all of several objects, irrespective of their arrangments is called a combination.
we have given that
Number of students to be on stage for a performance = 10
Number of students to be chosen by the instructor = 4
So, the number of ways to choose 4 students from 10 students is
[tex]\rm ^{n} C_{r} = \frac{n!}{(n-r)!r!}[/tex]
where n = number of students
r = number of students chosen
[tex]\rm ^{10} C_{4} = \frac{10!}{(10-4)!4!}\\\\\rm ^{10} C_{4} = \frac{10!}{(6)!4!}\\\\\rm ^{10} C_{4} = \frac{10\times 9 \times 8 \times 7}{4\times3 \times 2}\\\\\rm ^{10} C_{4} = 210\\[/tex]
Learn more about combinations;
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