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2 cards from this section. Quick, good the night before a test.
What does a valid sequence of 1s and -1s imply?
Think about summation and how it behaves.
Calculate C(4, 2).
This is a simple combinatorial count.
What is the formula for the total number of sequences of n 1s and -1s?
This is basic combinatorics — think pairs!
True or False: Bad sequences maintain non-negative sums.
Reflect on our definition of bad sequences.
Consider the sequence S = {1, -1, 1, -1, -1, 1}. Show it's a bad sequence and demonstrate what its reflection would look like.
Trace through the negative point.
Find the number of valid sequences for n=4 and explain why they are equivalent to C(8, 4) - C(8, 5).
Break it down into visual paths.
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