How many different sequences of ten flips of a coin have at least 8 heads?
Flip the coin 10 times...let any 8 outcomes be heads = C(10,8) = 45 sequences
Flip the coin 10 times, let any 9 outcomes be heads = C (10,9) = 10 sequences
Let all 10 outcomes be heads = 1 sequence
So.... 45 + 10 + 1 = 56 sequences