Find out the number of ways of dividing n different chocolates to 3 children such that...
Determine the number of different ways to partition a set of n elements into k clusters
1) A Ramanujam number can be written two different ways as the sum of two cubes—i.e. , there exist distinct a, b, c, and d such that a3 +b3 = c3 +d3. Generate all Ramanujam numbers where a, b, c, d < n. 3-18. What method would you use to look up a word in a dictionary? 3-19. Imagine you have a closet full of shirts. What can you do to organize your shirts for easy retrieval? 3-20. Write a...
Find a rec. relation for an,k, the number of ways to order n doughnuts from k different types of doughnuts if two or four or six doughnuts must be chosen of each type. Answer is an,k = an-2,k-1+an-4,k-1+ an-6,k-1., please explain how to geit it, thanks.
2. What is inflation? Give three different ways to measure it. (a) Find out the U.S. rates of inflation for 1979-2018 and plot them into a graph (b) What is the difference between cost-push and demand-pull inflation?
2. What is inflation? Give three different ways to measure it. (a) Find out the U.S. rates of inflation for 1979-2018 and plot them into a graph. (b) What is the difference between cost-push and demand-pull inflation?
1. How many different ways can you have r numbers 1 sum up to a number n? These are called compositions of a number n and it is easy to calculate from our understanding of binomial coefficients. So the number of compositions of 4 into 3 parts will be 1+1+2, 1+2+1, and 2+1+1. Note how we think of 1+1+2 and 1+2+1 as different-because in the first case, the first number is 1, second is 1 and third is 2, while...
Problem 4. 1. I’ve invited 6 friends over to my house, and each of them brings a cat with them. (It’s a cat party, obviously!) I decide to place the 6 distinct cats into 3 identical cat beds. In how many ways can I do this? 2. Prove the S(n, k) = S(n − 1, k − 1) + kS(n − 1, k). 3. Give an example of an onto function f : [6] → [3]. Give an example of...
PartB (COMBINATORICS) -LEAVE ALL ANSWERA IN TERMS OF C(n,r) or factorials, Q4(a)(i ) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U immediately follows Q? Q4. (b)Su next semester. Your favorite professor, John Smith, is teaching 2 courses next semester and therefore ppose you are a math major who is behind in requirements and you must take 4 math courses you "must" take at least one of them....
Sc Python 1 Task 2 3 Consider a binary tree of N vertices 4 such that children of node K are 2* K + 1. Vertex 1 is the root Kand 2 of the tree and each node has an integer value associated with it. Such a tree may be represented as an array of N integers by writing down values from consecutive nodes For example, the tree below 8 Test might be represented as an array o A node...
2. Suppose 6 people will be lined up to get on a bus. Find the number of different ways they can be ordered under the following contitions. a) If 3 specific persons, among 6, insist on following each other, how many ways are possible? b) If 2 specific persons, among 6, refuse to follow each other, how many ways are possible?