A coin is tossed $12$ times. How many different sequences of tosses could there have been, if the number of heads was at least $5?$
C(12,5) + C(12,6) + C(12,7) +C(12,8) + C(12,9) + C(12,10) + C(12,11) + C(12,12) =
3302 sequences
+1444 
