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A coin is tossed 10 times.  How many different sequences of tosses could there have been, if at least $3$ of the tosses were heads?

 Oct 5, 2021
 #1
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(10 C 3)   +  ∑ (n, 4, 10, (10 C n))==120 + 848 ==968 sequences of tosses.

 Oct 5, 2021
 #2
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210  -  10 C 2 -  10 C 1 -  10 C 0  =   1024 - 45 -10 -1 = 968 possible sequences 

 Oct 5, 2021

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