What is the number of ways to distribute six distinct objects into four distinct boxes, ensuring that no box is left empty?
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What is the number of ways to distribute six distinct objects into four distinct boxes, ensuring that no box is left empty?
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- One way to put a list of people into teams is by counting off. For example, if the list of people is: ['paul', 'francois', 'andrew', 'sue', 'steve', 'arnold', 'tom', 'danny', 'nick', 'anna', 'dan', 'diane', 'michelle', 'jeremy', 'karen'] and the number of teams desired is four, then you assign the people to teams 0, 1, 2, 3, 0, 1, 2, 3, etc. like this: [['paul', 'steve', 'nick', 'michelle'], ['francois', 'arnold', 'anna', 'jeremy'], ['andrew', 'tom', 'dan', 'karen'], ['sue', 'danny', 'diane']] Write the code for the following function. Do not assume that the list of people will divide evenly into the desired number of teams. If the list of people does not divide evenly into the desired number of teams, the teams will simply have unequal sizes. Do not assume that the number of people is at least as large as the number of teams. If there aren't enough people to cover the teams, some (or even all) teams will simply be empty. Hint: The range function will be very helpful. def form_teams…Chiralitydef is_left_handed(pips): Even though this has no effect on fairness, pips from one to six are not painted on dice any which way, but so that the pips on the opposite faces always add up to seven. (This convention makes it easier to tell when someone tries to use gaffed dice that leave out some spot values.) In each corner of the cube, one value from each pair of opposites 1-6, 2-5 and 3-4 meets two values from the other two pairs of opposites. The math works out correctly in for the 23 = 8 corners of the cube. This still leaves two possibilities how to paint these pips. Look at the corner shared by the faces 1, 2, and 3, and read these numbers clockwise around that corner starting from 1. If these three numbers read out as 1-2-3, that die is left-handed, and if they read out as 1-3-2, that die is right-handed. Analogous to a pair of shoes made separately for the left and right foot, left- and right-handed dice are in one sense identical, yet no matter how you twist and turn,…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?
- Jessie has a lot of cooking with her (N). He often remembered the first few letters of the recipe and forgot the others. Like all great chefs, Jessie re-calculated the recipes according to the priority. So, looking at the list of recipes and priorities answers Jessie's questions. Response from Jessie: Giving the first few letters of the recipe; you have to print the perfect recipe in the most important way. Note: Every recipe has a unique value. Please answer this in C++ Only Input 1 flour-with-eggs 100 1 G Output 0Q2: Ginormous Campus The campus is pretty big. There are n buildings scattered around it, numbered from 0 to n-1. These buildings are so far away from each other that the only way to get from one to another is to take a campus bus. There are m campus bus routes. The i-th one (0 <= i < m) takes you from building u_i to building v_i (but not the other way around). These buses run very frequently. Professor Zingaro is deciding where to hold his CS lectures. He believes a building x is accessible from a building y if you can get from y to x taking at most two buses. For his students’ convenience, he wants to hold his lectures in the most accessible building. Help him out by telling him how many buildings the most accessible building is accessible from. In addition, list all buildings that are the most accessible. Input The first line of the input contains two space-separated integers n and m, denoting the number of buildings and bus routes, respectively. m lines follow. The i-th one…If you have six goods and four containers, how many ways are there to pack them such that no container is left empty?
- Idiot’s Delight is a fairly simple game of solitaire, yet it is difficult to win. The goal is to draw all of the cards from the deck, and end up with no cards left in your hand. You will run through the deck of cards one time. Start by dealing 4 cards to your hand. You will always look at the last 4 cards in your hand. If the ranks of the “outer” pair (1st and 4th) are the same, discard all four cards. Otherwise, if the suits of the “inner” pair (2nd and 3rd) are the same, discard those 2 cards only. If you have less than 4 cards, draw enough to have 4 cards in your hand. If the deck is empty, the game is over. Your score will be the number of cards that remain in your hand. Like in golf, the lower the score the better. Create a new Python module in a file named “idiots_delight.py”. Add a function called deal_hand that creates a standard deck of cards, deals out a single hand of 4 cards and returns both the hand and the deck. Remember that for the last assignment, you created several…There aren't any set cells that have the same values.How many ways are there to put 6 different things into 4 different boxes so that no box is left empty?
- Please look at attached photos. It needs to pass all of the simulations. Thanks in advance Cryptography is the practice of encryption. Information Security uses cryptography techniques to encrypt and decrypt data. A simple encryption method might take plaintext and mix up the letters using some predetermined pattern and then use that pattern to decrypt the data for reading. Ciphers are the algorithms used to put the data into its secret pattern and then systematically decrypt it for reading. This script is going to use a famous simple cipher called the Caesar Cipher. It is a substitution cipher where each letter in the text is 'shifted' in a certain number of places. It uses the alphabet as the primary pattern and then based on the shift number, it would shift all the letters and replace the alphabet with our pattern. For example, if our shift number was 3, then A would be replaced with D, if we performed a right shift. As an example: Text = "THE CAT IS VISIBLE AT MIDNIGHT" Ciphertext…How many ways are there to fill four boxes with six objects?Examine the following graph. We will be running Dijkstra's algorithm starting at the node labeled S S 5 1 2 A E F 9. 3 4 6 B C D 2 5 10 5 We're using the version of Dijkstra's algorithm described here in lecture: note that the fringe and distro data structures are always changed at the same time. Give the resulting edgeTo and distão maps after vertex B is visited (i.e. its outgoing edges to C and E have been relaxed). Also give the resulting edgeTo and distro maps after Dijkstra's algorithm has completely finished execution. Initialize the edgeTo for each vertex as - which will represent null for us. Initialize the distro for each vertex as inf which we'll use to represent ∞o, except for S where it should be 0. So, before the first iteration, the values of these variables are: edgeTo = {A, B, C:-, D:-, E:-, F:-, G:-, S:-} distTo = {A: inf, B:inf, C:inf, D:inf, E:inf, F:inf, G:inf, S:0} The maps must be in this order. If you have the same mappings but in a different order (i.e. the…