A coin is tossed 10 times. How many different sequences of tosses could there have been, if at least $5$ of the tosses were heads?
At LEAST 5 means 5 or 6 or 7 or 8 or 9 or 10 could have been Heads ....
10c5 + 10c6 + 10c7 + 10c8 + 10c9 + 10c10 = ______________