There are 10 students on the basketball team. The coach selects 3 of them to go to a basketball clinic. In how many ways band she choose 3 of the 10 students? A. 210 B. 120 C. 720 D. 45

B. 120

Step-by-step explanation:

The questions says in how many ways band she choose 3 of the 10 students

Using Combination Formula, which says

C = n! / (n! (n - r) !)

n represents the total number of students

r represents the students he want to choose

The number of combinations 3 out of 10

¹⁰₃C = 10! / (3! (10 - 3) !)

= 10! / 3! 7!

= 10*9*8* / 3*2*1 / 7*6*5

= 3628800 / 6*5040

= 3628800 / 30240

= 120ways