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2 cards from this section. Quick, good the night before a test.
What does C(3) represent?
Think about counting parentheses.
State the recurrence relation for Catalan numbers.
It involves summing products of combinations.
What is the value of C(3)?
Count how many ways to parenthesize 4 numbers.
True or False: The sequence '(()' is valid.
Check for unmatched pairs.
Determine C(4) and explain how it relates to the sequences of valid parentheses.
Consider all placements of four numbers.
Explain the significance of Catalan numbers in counting valid paths in combinatorics.
Connect the combinations to geometrical configurations.
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