SOLUTION: How many ways can 3 out of 10 students be chosen?

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Question 740753: How many ways can 3 out of 10 students be chosen?
Answer by jam123(18) About Me  (Show Source):
You can put this solution on YOUR website!
Say our students' names are A, B, C..., J.
_ _ _
1 2 3
Student 1 can be any of the 10 students, so we'll put a 10 there.
10
-- -- --
1 2 3
Student 2 CANNOT be any of the 10 students, as there has already been another student chosen. Thus, the number of students is 9.
10 9
-- -- --
1 2 3
Now that 2 students have been chosen, 8 students can be Student 3.
10 9 8
-- -- --
1 2 3
10%2A9%2A8=
90%2A8=
720
Therefore, there are 720 ways for 3 out of 10 students to be chosen.