SOLUTION: A mutual fund has 12 stocks in its portfolio. On a given day 2 stocks move up, 8 stay the same and 2 move down. In how many ways could this happen?

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Question 1204022: A mutual fund has 12 stocks in its portfolio. On a given day 2 stocks move up, 8 stay the same and 2 move down. In how many ways could this happen?
Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
.

From 12 stocks, you can select 2 to the category "move up" by C%5B12%5D%5E2 = 66 different ways.

From remaining 10 stocks, you can select 10 to the category "stay the same" by C%5B12%5D%5E10 = 66 different ways.

The last 2 stocks are automatically in the category "move down" just without any choice (= 1 choice).


The answer to the problem's question is this produce 66*66*1 = 4356.

Solved.

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To see many similar  (and different)  problems,  solved and explained,  look into the lesson
    - Fundamental counting principle problems
in this site.

Learn the subject from there.