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- Suppose that a > 0 is a positive integer, and n > a. How many lattice paths are there from (0, 0) to (n, n) that do not go above the line y = x + a? hint: Catalan NumberSuppose there are 10 students participating in a workshop that meets every day of a five-day work week. Each student must present a poster in exactly one of the days of the workshop, and every day of the workshop should have at least one poster presentation. If nk denotes the number of posters presented in day k of the workshop, what is the number of possible quintuples (n1,n2,n3,n4,n5)? I ll rate accordingly.Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth). How many distinct two-geon objects do we have in the space described above? 2. Now, suppose we add a third geon, geon C. Again, each geon comes in 20 varieties and 5 sizes. We'll start by creating a two-geon pair of A and B just like in Question 1 above; then, we decide which of A or B the third geon (C) will be adjacent to, and then we place geon C beside either A or B in one of the 10 allowed relations. How many distinct three-geon objects do we have in this space?
- suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth). How many distinct two-geon objects do we have in the space described aboveSuppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth). How many distinct two-geon objects do we have in the space described above? 2.Now, suppose we add a third geon, geon C. Again, each geon comes in 20 varieties and 5 sizes. We'll start by creating a two-geon pair of A and B just like in Question 1 above; then, we decide which of A or B the third geon (C) will be adjacent to, and then we place geon C beside either A or B in one of the 10 allowed relations. How many distinct three-geon objects do we have in this space? Note;Earlier answers given by experts are as below which are wrong: 49,500, 19! 19!x19! 1.2*10^17 1000 250 150. Note:For first question answer is…Prove that the following are equivalent by using rules of replacement (picture attached)
- Consider the monthly salary of all 5 employees of a company: Salary={20,30,22,20,16} Choose any three salary out of the 5, and find the middle point of those 3I need answer for thus questiin in the methid belowA survey of 300 parts showed that 150 had only camping, 20 had only hiking, 35 had only picnic area, 185 had camping, 140 had camping and hiking, 125 had camping and picnic and 210 had hiking. Determine the number of parts that had the following: 1.) At lease one of the features 2.) Had all 3 features 3.) Had exactly 2 of the 3 4.) Had none of the 3 features