SOLUTION: A fan of country music plans to make a custom CD with 14 of her 25 favorite songs. How many different combinations of 14 songs are possible?

Question 958041: A fan of country music plans to make a custom CD with 14 of her 25 favorite songs. How many different combinations of 14 songs are possible?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
A fan of country music plans to make a custom CD with 14 of her 25 favorite
songs. How many different combinations of 14 songs are possible?

25 songs, Choose 14 =

25C14 =

Since 14 is more than half of 25, we can subtract 14 from 25 and get 11.

That is, 

25C14 

can be simplified to 

25C11

[That's because every time we choose 14 songs from the 25 to use, we choose 11
songs to leave out.]

25 Choose 11 = 25C11 = 

The factors on the bottom will all cancel into the factors on the top,
and after multiplying the remaining factors we end up with 4457400.

Edewin

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