SOLUTION: I am not that strong in this field. Can you look over this stuff AND get me the answers when it is done so I know where i may have goofed up? 14. (2 pts) How many different ways

Question 144870This question is from textbook survey of math w/applications
: I am not that strong in this field. Can you look over this stuff AND get me the answers when it is done so I know where i may have goofed up?
14. (2 pts) How many different ways are there for an admissions officer to select a group of 7 college can-didates from a group of 19 applicants for an interview? 19 * 7 at a time = 19*18*17*16*15*14*13 This question is from textbook survey of math w/applications

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
19 * 7 at a time = 19*18*17*16*15*14*13
That's partly correct, but since it makes no difference whether a candidate is chosen 1st, 2nd or 7th (without ordering), you have to divide it by 7!.
So it's 19!/(19-7)!x7!
= 19!/(12! x 7!)
= 50,388
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