A new computer graphics company employees ten programers. The company decides to expand into digital animation

Question

And needs to transfer three of the programers into the new department. How many different combinations of three programers can be chosen to transfer into the new department?

I need the math equation for this please :-)

Answer 1

This is called a combination. Its calculated value is:

10C3 = 10 x 9 x 8/(3 x 2 x 1) = 120 ways

Which means "the number of ways to choose a group of 3 from a group of 10 where order makes no difference".

The way it works is like this.

First, don't worry about order. Imagine you have all 10 programmers lined up against a wall.

You have 10 programmers to choose from at first. Suppose you choose Alice. Now you have 9 left. Suppose you choose Bob. Now, there are 8 left, so you choose Charlie, and you've got your 3 programmers.

So, basically, if order made a difference, you would have 10 x 9 x 8 or 720 ways to pick the programmers.

But now consider...

You picked Alice, Bob, and Charlie...but if you had picked Bob first, then Alice, then Charlie, that would be the same right? It doesn't matter which of the three you pick first, just that you pick those three.

So, to find how many groups you can make where order doesn't make a difference, you have to take those 720 ways and divide them by the number of different ways you could have picked the three people you DID pick:

{ Alice , Bob , Charlie }
{ Alice , Charlie , Bob }
{ Bob , Alice , Charlie }
{ Bob , Charlie , Alice }
{ Charlie , Alice , Bob }
{ Charlie , Bob , Alice }

So there are 6 (3 x 2 x 1) ways to arrange the 3 people you chose...so you divide the 720 by 6 to get the final answer, which is 120.

The formula for this in general is:

nCr = n!/(r!(n - r)!)

Or, in this case,

10C3 = 10!/(3!(10 - 3)!) = 10!/(3!7!)
= 10 x 9 x 8 x 7!/((3 x 2 x 1) x 7!)
= 10 x 9 x 8/(3 x 2 x 1)
= 120

Answer 2

Computer Graphics Companies

Answer 3

No. What if that person had no say in how the company's run? if you raise your prices simply based on the theory that they are scamming people by charging more for oil, does it not follow that you are imitating their behaviour? They are on a roll now, but when we find an alternative to oil, their time will come.

Answer 4

Easy 3D Animation Software - http://3dAnimationCartoons.com/?cQMT