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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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