SOLUTION: This is the last problem that i missed on my exam please help me .. so I will have it straigh for my final. thank you T-Aun
How many different ways are there for an admis
Algebra.Com
Question 199877: This is the last problem that i missed on my exam please help me .. so I will have it straigh for my final. thank you T-Aun
How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview?
Found 2 solutions by rfer, jim_thompson5910:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
I believe that the first choice is 1 out of 15, second pick is 1 out of 14, and so on.
1/15x1/14x1/13x1/12x1/11x1/10=3,603,600
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Unfortunately, the previous solution is incorrect. Why? They're not looking for a probability, they just want to know the number of possible combinations.
We could use the counting principle to solve this problem, but we'll have overlap and the sample space is far too large. So let's do it this way:
In this case, order does NOT matter since the candidates have no rank over one another (ie one isn't president or secretary).
Since order does not matter, we must use the <a rel=nofollow HREF=http://www.mathwords.com/c/combination_formula.htm>combination formula</a>:
Start with the combination formula.
Plug in and
Subtract to get 9
Expand 15!
Expand 9!
Cancel
Simplify
Expand 6!
Multiply 15*14*13*12*11*10 to get 3,603,600
Multiply 6*5*4*3*2*1 to get 720
Reduce.
So 15 choose 6 (where order doesn't matter) yields 5,005 unique combinations
This means that there are 5,005 different ways to select a group of 6 college candidates from a group of 15 applicants for an interview (where the order of the candidates doesn't matter).
RELATED QUESTIONS
I went over this problem three times and the teacher is telling me it is still wrong the... (answered by rfer)
Divide and simplify.(√18+ √24)/√6. For my last steps to this problem I... (answered by richard1234)
[ Hi I have a question my grade in class right now is 76% and I have a final exam worth... (answered by TimothyLamb)
I have to use the quadratic formula to solve this equation. I have successfully completed (answered by jim_thompson5910)
My teacher allow me to re-take my quiz and I still got this problem incorrect please show (answered by scott8148)
My algebra techer gave me a review for the final exam and i totally forgot how to do... (answered by ankor@dixie-net.com)
I went over and over on this problem and i'm still coming up with the wrong answer please (answered by checkley77,scott8148)
Please answer this question for me. This is for my final exams so please help and it's... (answered by jim_thompson5910,pedjajov)
I am having a problem with my final exam study guide. The problem is "The ratio of boys... (answered by Nate,stanbon)