Can anyone answer this Math Word Problem for me?

Question

1.)  Mitch has six songs he would like to add to his        portable music player, but only three will fit. How many  different three-song groupings does Mitch have from  which to choose.  (Hint: Order does NOT matter.)

Answer 1

Hi Gabe,

 

Since order does not matter, this is a combination problem where we want to find the number of combinations of 3 items that can be chosen from 6 items. The formula is

 

nCr = n!/((n-r)!*r!) where n is total number of items that can be chosen from in this case is 6 and r is the number of items chosen in this case is 3. The formula becomes:

 

where 6! = 6*5*4*3*2*1

 

6C3 = 6*5*4*3!/(3!*3!) = 6*5*4/(3*2*1) = 20

 

There are 20 three song combinations choosing from 6 songs.

 

Hope this helps