I am making up a question myself. But i dont know how to solve the question mathematically. Can some one help. The question is as below.
A company wants to select 2 candidates from one college (Example: ISB) AND one from any other college (i.e. NON-ISB, example Harvard OR Insead).
The company chooses 2 out of 3 candidates from ISB and interviews only one candidate from Harvard and Insead each but chooses only one out of HARVARD OR INSEAD. How many possibilities exist to have 3 people chosen by the company.
So the grid can look like below:
2 ISB candidates chosen (From Candidate no. 1 OR Candidate no. 2 OR Candidate no. 3) AND 1 NON-ISB chosen (From Candidate no. 1 - Harvard OR Candidate no. 1 - Insead)
When i did the question through the long route of combinations I get 6 possibilities. Let me know if i am right and how to solve this question mathematically?
You have 3 people from ISB - you need to choose 2. You can do this in 3C2 = 3 ways. Or think that you have to drop one person out of 3. You can select that one person in 3 ways.
(Check out this post for the nCr formula: http://www.veritasprep.com/blog/2011/11 ... binations/
Next, you need to choose 1 person from 2 non ISB. You can do this in 2 ways.
Total no of ways of selecting the 3 people = 3*2 = 6 (you multiply because both actions have to be done simultaneously. You must select 2 out of 3 ISB and 1 out of 2 non ISB)
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