Asked by Epic

How many different sequences of ten flips of a coin have at least 8 heads?

Answers

Answered by Better Than Epic
wow AoPS Counting and Probability class, the answer is 56.
Cheating is bad, but the answer is 56. AOPS MUCH
Answered by Anonymous
We find the number of sequences with 8 heads, 9 heads, and 10 heads
separately and add these totals. There are ${10\choose 8} = {10\choose 2} =
45$ sequences with 8 heads, ${10\choose 9} = {10\choose 1} = 10$ sequences
with 9 heads, and only 1 with 10 heads. Thus, there's a total of
$45+10+1 = 56$ sequences of ten flips with at least 8 heads
Answered by Burn
Ya dont cheat
Answered by Anonymous
Don't cheat. but if you need the answer because you are stuck, the answer is 56.
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