If you have 6 things and 4 boxes, how many ways are there to pack them all in such that no box is left empty?
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If you have 6 things and 4 boxes, how many ways are there to pack them all in such that no box is left empty?
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- If you have six items, how many ways are there to pack them into four crates such that none of the containers are empty?The game is played in the magic maze, as shown below. The squares are flaming lava pools. If you try to cross them you will die. The grid lines are passageways and are safe to travel in. You can start at any location on the grid but must travel in the passageways. You may travel as far as you want in any direction, but once you turn, you must repeat that distance and you may only make left turns. You may not reverse direction inside the tight passageways. You must end up at the same spot you started at. If you successful, then you gain a magic coin, which automatically appears. You can start over again and again in a different or same starting spot and earn new magic coins, but the routes you take must differ somehow for each magic coin. That is, no magic coins for the exact same route as previously done. If the route varies in any way (perhaps it is the same starting location and ending location as a previous route, but longer), it will earn a new magic coin. Mad Madame Mim has…Decimal points are sometimes used in hotel room numbers . If you were assigned to room 6.10 , where would you expect to find it.
- with T=4, n=12 and A=(3,5,8,8,9,16,29,41,50,63,64,67). Draw the corresponding walkthrough as shownYou need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass through on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Miles between Adjacent Towns Town A B C DE Destination Origin A 40 60 50 10 70 B 20 55 40 50 10 D 60 E 80 (a) Formulate this problem as a shortest-path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles. (b) Use the Dijkstra's algorithm to solve this shortest path problem.You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass through on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Town Origin A B C D E A 40 Miles between Adjacent Towns C D E B 60 10 50 20 - 70 55 - 88811 40 50 10 Destination | | || 88 60 80 (a) Formulate this problem as a shortest-path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles. (b) Use the Dijkstra's algorithm to solve this shortest path problem. Illustrate your work by using a table.…
- Correct answer will be upvoted else downvoted. Computer science. You have w white dominoes (2×1 tiles, the two cells are hued in white) and b dark dominoes (2×1 tiles, the two cells are shaded in dark). You can put a white domino on the board in case both board's cells are white and not involved by some other domino. Similarly, you can put a dark domino if the two cells are dark and not involved by some other domino. Would you be able to put all w+b dominoes on the board if you can put dominoes both on a level plane and in an upward direction? Input The main line contains a solitary integer t (1≤t≤3000) — the number of experiments. The primary line of each experiment contains three integers n, k1 and k2 (1≤n≤1000; 0≤k1,k2≤n). The second line of each experiment contains two integers w and b (0≤w,b≤n). Output For each experiment, print YES in case it's feasible to put all w+b dominoes on the board and negative, in any case. You might print each letter…Calculate the number of ways to get from A to B moving right and down only.If you have six goods and four containers, how many ways are there to pack them such that no container is left empty?
- Kinetic energy can be calculated with the following formula: KE 1 2 • m is mass in kg • v is velocity in m/s • KE is kinetic energy in J mv² شور در روز Return the Kinetic Energy in Joules, given the mass and velocity. For the purposes of this challenge, round answers to the nearest integer. Examples kinetic Energy (60, 3) → 270 kinetic Energy (45, 10) - 2250 kinetic Energy (63.5, 7.35) → 1715 Notes Expect only positive numbers for inputs.A number maze is a k ×k grid of positive integers. A token starts in the upper left corner and your goal is to move the token to the lower-right corner. On each turn, you are allowed to move the token up, down, left, or right; the distance you may move the token is determined by the number on its current square. For example, if the token is on a square labeled 3, then you may move the token exactly three steps up, three steps down, three steps left, or three steps right. However, you are never allowed to move the token off the edge of the board. Design and analyze an algorithm that in O(k2) time determines if there is a way to move the token in the given number maze or not.A number maze is an n × n grid of positive integers. A token starts in the upper left corner; your goal is to move the token to the lower-right corner. On each turn, you are allowed to move the token up, down, left, or right; the distance you may move the token is determined by the number on its current square. For example, if the token is on a square labeled 3, then you may move the token three steps up, three steps down, three steps left, or three steps right. However, you are never allowed to move the token off the edge of the board. 6 3574 5 315 3 283 35 74 6 53 15 1 4 2 8 3 1 4 4 5 7 2 3 4 5 7 2 3 3 1 3 2★ 3 KT3 A 5 × 5 maze that can be solved in eight moves In this problem, you will design and analyze an efficient algorithm that either returns the minimum number of moves required to solve a given number maze, or correctly reports that the maze has no solution. Describe the solution to this problem at a high level, justify why it works, write down the pseudocode for your algorithm…