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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
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....
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...
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....
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....
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...
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. (...
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...
Write a C++ program to find the kth largest number among N numbers. You may assume...
Write a C++ program to find the kth largest number among N numbers. You may assume 0 < k <= N. The numbers are in an input file. Input value of k from the user. Read the first k numbers into an array and sort them into non-increasing order. Next, read the remaining numbers one by one (until end-of-file). As a new number is read, if it is smaller than the number in position k-1 in the array, it is...
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...
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....
2. Suppose 6 people will be lined up to get on a bus. Find the number...
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?
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...
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....
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?
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