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Combinatorics (selection of candidates)

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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?

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