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Consider a product of 4 numbers, abcd. It can be parenthesized in 5 ways: ((ab)c)d, (a(bc))d, (ab)(cd), a((bc)d), and a(bcd)). Prove that the number of
Consider a product of 4 numbers, abcd. It can be "parenthesized" in 5 ways: ((ab)c)d, (a(bc))d, (ab)(cd), a((bc)d), and a(bcd)). Prove that the number of such parenthesizings of a product of n numbers is the Catalan number bn-1
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