Data Structures Algorithms-II MCQs

Page No. 114

There are n dice with f faces. The faces are numbered from 1 to f. What is the minimum possible sum that can be obtained when the n dice are rolled together?


a1

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bf

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cn

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dn*f

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View Answer n

You have 2 dice each of them having 6 faces numbered from 1 to 6. What is the number of ways in which a sum of 11 can be achieved?


a0

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b1

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c2

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d3

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View Answer 2

You have 3 dice each having 6 faces. What is the number of permutations that can be obtained when you roll the 3 dice together?


a27

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b36

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c216

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d81

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View Answer 216

You have n dice each having f faces. What is the number of permutations that can be obtained when you roll the n dice together?


an*n*n…f times

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bf*f*f…n times

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cn*n*n…n times

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df*f*f…f times

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View Answer f*f*f…n times

You are given n dice each having f faces. You have to find the number of ways in which a sum of S can be achieved. This is the dice throw problem. Which of the following methods can be used to solve the dice throw problem?


aBrute force

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bRecursion

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cDynamic programming

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dBrute force, Recursion and Dynamic Programming

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What is the maximum number of ways in which a boolean expression with n + 1 terms can be parenthesized, such that the output is true?


anth catalan number

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bn factorial

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cn cube

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dn square

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View Answer nth catalan number

Which of the following gives the total number of ways of parenthesizing an expression with n + 1 terms?


an factorial

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b n square

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cn cube

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dnth catalan number

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View Answer nth catalan number

Consider the expression T | F ∧ T. In how many ways can the expression be parenthesized so that the output is F (false)?


a0

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b1

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c2

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d3

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View Answer 1

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)?


a0

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b1

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c2

✓


d3

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View Answer 2

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)?


a0

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b1

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c2

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d3

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View Answer 2

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