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3 cards from this section. Quick, good the night before a test.
What is C(2)?
Think of the arrangements for three numbers.
How many valid strings can be created with 1 pair of parentheses?
Count the number of valid pairs.
What does C(3) represent?
Remember the definition of C(n).
True or False: C(n) is an example of a combinatorial sequence.
Think about what combinatorial problems involve.
Calculate C(5) using the recurrence relation.
Use the known values of C(0)-C(4) to calculate.
Show that the number of valid parentheses of length 2n is equal to C(n).
Draw connections between parentheses arrangement and multiplication.
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