SOLUTION: there are thirty fabrics at a quilt store. how many different groups of five can you choose for a quilt?

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Question 945181: there are thirty fabrics at a quilt store. how many different groups of five can you choose for a quilt?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
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30 Choose 5 = 30C5 = 142506

Start with 30, then multiply by 1 less, then by 1 more less, etc.
until you have 5 factors on top, 

Then have a hay-day of canceling

Cancel the 5 into the 30, get 6.
Cancel the 4 into the 28, getting 7.
Cancel the 3 into the 29, getting 9.
Cancel the 2 into the 26, getting 13.

  6     7  9  13

   1  1 1  1
 
So it's 6×29×7×9×13 = 142506

If you have a TI graphing calculator, you can do this

type 30
press MATH
Press the left arrow key <-
Press 
3          (Should see 30 nCr
type 5     (Should see 30 nCr 5
press ENTER

See 142506 

Edwin