6 Coin Toss

Atirekk2017

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Apr 28, 2020
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I had a hard time trying to figure out this coin toss problem.
I flip a coin 6 times and I need to find out how many different ways can I get 3 heads and 3 tails.
I tried to use the Permutations formula but ended up with (6!)/(6!)
 
Try combinations instead: How many ways can you choose which 3 of the 6 coins are heads?
 
I had a hard time trying to figure out this coin toss problem.
I flip a coin 6 times and I need to find out how many different ways can I get 3 heads and 3 tails.
I tried to use the Permutations formula but ended up with (6!)/(6!)
Do you know about rearranging a string with repeated symbols?
How many ways can the string \(HHHTTT\) be rearranged?
 
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