krishnasty wrote:

There are 12 co-workers who work on projects in teams each month. Each team is comprised of 3 people and every team is together only once before the rotation begins again. How many unique teams can be created?

My effort:

From the above scenario, it is clear that there are 4 teams and each comprises of 3 people.

Hence, i took m=4 and n=3 in the formula (mn)! / (n!)^m * m!

but the answer coming is wrong. Can somebody please tell me whats wrong in here?

OA : 220

Hi!

You've vastly overcomplicated the problem.

The simplest interpretation of the question is "how many unique groups of 3 people can be made out of a total pool of 12?"

The answer is then 12C3. Plugging into the combinations formula:

12C3 = 12!/3!9! = 12*11*10/3*2*1 = 2*11*10 = 220

To be honest, I'm not even sure where they formula you used comes from - I've never seen it before.

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