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## Data Structure Questions and Answers-Dice Throw Problem

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Question 1 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

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?

Brute force | |

Recursion | |

Dynamic programming | |

All of the mentioned |

Question 1 Explanation:

All of the mentioned methods can be used to solve the dice throw problem.

Question 2 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

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?

n*n*n...f times | |

f*f*f...n times | |

n*n*n...n times | |

f*f*f...f times |

Question 2 Explanation:

Each die can take f values and there are n dice. So, the total number of permutations is f*f*f...n times.

Question 3 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

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?

27 | |

36 | |

216 | |

81 |

Question 3 Explanation:

The total number of permutations that can be obtained is 6 * 6 * 6 = 216.

Question 4 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

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?

0 | |

1 | |

2 | |

3 |

Question 4 Explanation:

The sum of 11 can be achieved when the dice show {6, 5} or {5, 6}.

Question 5 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

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?

1 | |

f | |

n | |

none of the mentioned |

Question 5 Explanation:

The sum will be minimum when all the faces show a value 1. The sum in this case will be n.

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