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Consider the expression T & F | T. What is the number of ways in which the expression can be parenthesized so that the output is T (true)?

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in Data Structures & Algorithms II by (76.6k points)
Consider the expression T & F | T. What is the number of ways in which the expression can be parenthesized so that the output is T (true)?

(a) 0

(b) 1

(c) 2

(d) 3

The question was posed to me in a national level competition.

The question is from Counting Boolean Parenthesizations in chapter Dynamic Programming of Data Structures & Algorithms II

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The correct choice is (c) 2

To explain: The expression can be parenthesized as T & (F | T) and (T & F) | T so that the output is T.

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