11/18/2023 0 Comments Circular permutationNo two phone numbers are supposed to be alike. Finding out the number of available phone numbers To make codes (such as passwords) difficult to break or guess, it is usually recommended that people choose lengthy passwords with the widest variety of characters. However, this process, called brute force, can take a long time even with a computer especially if the code is very long. Permutations give you all the possible ways in which the string can be formed.īy checking each of these, one can break a coded string. Understanding permutations can help one in the science of breaking or creating codes (also called cryptography).įor example, breaking a code involves guessing what the characters (letters, digits, etc.) of a string are and in what sequence. This means the 7 people can be seated in 5040 different ways around the table. You can use the factorial calculation of:ħ! =5040. This problem would be no different from finding out the number of ways 7 people can form a queue (straight line). How many ways can a given number of people sit at a roundtable?įor example, if there are 7 people at the round table, you can use a permutation calculation to solve the problem. In percentage terms, you have a 0.1% (0.001 x 100) chance of winning. Therefore, you have a probability of picking the right sequence of 10/10,000 =0.001. So, there are 10 numbers that can win and the total numbers you can draw are 10.000. So, we can calculate the total numbers of possible 4-digit numbers as 10 x 10 x 10 x 10 = 10,000 different numbers.įrom there, we count the total of winning numbers (0000, 1111,2222, 3333……9999) which are 10. If you play a lottery game, you may want to know what your odds are for winning the prize.įor example, if the lottery rules say you can win if you pick four digits that match (e.g., 1111, 9999, or 5555), you can work out your odds for winning by using a permutation calculation.Įach slot (digit position) can be occupied in 10 different ways (since we have 0 to 9 digits). The body has a mechanism to ensure that this sequence is followed and the correct protein is formed 3. Insulin is made up of 51 different amino acids arranged in a specific sequence or permutation.Īny rearrangement that deviates from this normal sequence makes this protein dysfunctional and causes diseases such as diabetes. Its role is to control the amount of sugar around the body so that it is neither too high nor too low. The sequence of amino acids is important because this will determine whether the protein will function or not.ĭefective or missing proteins can cause serious diseases in people such as sickle cell anemia.įor example, insulin is a protein found in humans. Proteins are formed from string-like structures that contain an arrangement of amino acids. Out of these, only 3 have meaning in English: ELBOW, BELOW, and BOWEL. The letters, E, W, O, B, L gives the following number of word combinations These can be used for generating passwords or engaging in fun play and intellectual challenges.įor example, in a scrabble game, you may want to try out all the possible words a given set of letters can give you. Anagrams are different word arrangements that you can form from using the same set of letters.
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