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A coin is tossed 10 times. How many different sequences of tosses could there have been, if at least 8 of the tosses were heads?

 Jan 9, 2023
 #2
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@Guest, I'm getting something different hopefully you can help me with the problem I'm having here:

 

Say our coins were in the form of:

 

_ _ _ _ _ _ _ _ _ _

 

Where each "_" is either a head or a tail. We need 8 of the tosses to be heads, so we do:

 

choose 8 of 10

 

This is 45, then for the other two, we have 2 * 2 = 4 options for what those can be, so I'm getting

 

45 * 4 = 180

 

So that's my answer (but it's probably incorrect, and if it is, please tell me so I can fix it!)

 Jan 9, 2023
 #3
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There were a total of:

 

[10 nCr 8 + 10 nCr 9 + 10 nCr 10] ==56 sequences

 Jan 9, 2023

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