SOLUTION: How many different sequences of ten flips of a coin result in five heads and five tails?

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Question 815003: How many different sequences of ten flips of a coin result in five heads and five tails?
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
There are 10 flips, flip#1, flip#2, ..., flip#9, and flip#10

"10 flips, choose 5" of those flips to be heads, and for each choice 
of 5 flips to be heads, you can choose the other 5 to be tails in
just 1 way,and that is to choose them all tails.

Some people write it C(10,5), some write it 10C5, some write it

10C5, and some write it %28matrix%282%2C1%2C10%2C5%29%29.

But it means "The combinations of 10 things taken 5 at a time, and it

can be calculated 10%21%2F%285%215%21%29 =  

Cancel what will cancel and multiply the rest out and you'll get 252.

Or you can do it on your TI-83 or 84.

Press ON
Press CLEAR
Type in the number 10
Press MATH
Press the left arrow key
Press 3

You wiil see 10 nCr and a blinking cursor

Type in the number 5

You wiil see 10 nCr 5 and a blinking cursor

Press ENTER

You will see 252.


Edwin