# Math Help - Combination Problem, I think!

1. ## Combination Problem, I think!

I have an interview panel made of:

1 Manager
1 Human Resource person
1 Supervisor

I have 5 managers to choose from
I have 6 Human Resource people to choose from
I have 7 supervisors to choose from

How many combinations could make up the interview panel.

Since order does not matter, I know it is not a permutation problem. How do I set up this problems???

Thanks,
Karies4083

2. ## Re: Combination Problem, I think!

Originally Posted by karies4083
I have an interview panel made of:

1 Manager
1 Human Resource person
1 Supervisor

I have 5 managers to choose from
I have 6 Human Resource people to choose from
I have 7 supervisors to choose from

How many combinations could make up the interview panel.

Since order does not matter, I know it is not a permutation problem. How do I set up this problems???
$5\cdot 6\cdot 7$ simple multiplication.

Thanks!

4. ## Re: Combination Problem, I think!

What if we change it up a bit:

Need 1 manager, 2 human resource persons, and 1 supervisor. Does this matter to the problem???

Thanks,
karies4083

5. ## Re: Combination Problem, I think!

Originally Posted by karies4083
What if we change it up a bit:

Need 1 manager, 2 human resource persons, and 1 supervisor. Does this matter to the problem???

Thanks,
karies4083
$5\cdot\binom{6}{2}\cdot 7$

525?

7. ## Re: Combination Problem, I think!

Originally Posted by karies4083
525?
Correct.