Question

Using generating functions, find the number of ways to make change for a 100 dollar bill...

Using generating functions, find the number of ways to make change for a 100 dollar bill using only dollar coins and $1, $2, and $5 bills.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Discrete Math question (generating functions) Use the generating function method to find how many ways 10...
Discrete Math question (generating functions) Use the generating function method to find how many ways 10 identical Green Tree Pythons can be distributed within four numbered cages, where the first two of their new homes require an even (but non-zero) number of snakes, the third cage must have an odd number, and with the last cage holding at least three reptiles?
Homework Question 9: (10 pts) Show your work a) Use generating functions to determine the number...
Homework Question 9: (10 pts) Show your work a) Use generating functions to determine the number of different ways ten cookies can be distributed among three children so that each child receives at least two cookies but no more than five. (4 pts) b) Find the closed form for the generating functions for the following sequence: 0,0,1,2,4,8,… (3 pts) c) Find the coefficient of x^8 in the power series expansion of G(x)=x^2/(1+5x) (3 pts)
Use exponential generating functions to find the number of r-digit ternary sequences with at least one...
Use exponential generating functions to find the number of r-digit ternary sequences with at least one 0 and at least one 2.
This is a Combinatorics question. Find a generating function for ar, the number of ways: (A)...
This is a Combinatorics question. Find a generating function for ar, the number of ways: (A) To distribute r identical objects into seven distinct boxes with an odd number of objects not exceeding nine in the first three boxes and between four and ten in the other boxes.
Find the generating function to determine the number of ways to pick k objects from 2n...
Find the generating function to determine the number of ways to pick k objects from 2n objects numbered from 1 to 2n when each odd-numbered object appears an even number of times.
count the number of ways to make change for n cents with pennies, nickels, dimes, and...
count the number of ways to make change for n cents with pennies, nickels, dimes, and quarters
Use exponential generating functions to determine the number of strings of length 12 with the following...
Use exponential generating functions to determine the number of strings of length 12 with the following properties: 1) Each string is made up of the characters ”a”, ”b”, ”c”, ”d” (some characters may not appear at all). 2) The number of times that ”a” appears is even, and the number oftimes that ”b” appears is odd. Find a closed-form formula for the exact answer – e.g. I’m looking foran answer like 5n+ 2n, not∑ni=12n(3ni).
Construct a C program which computes the minimum number of bills and coins needed to make...
Construct a C program which computes the minimum number of bills and coins needed to make change for a particular purchase. The cost of the item is $21.17 and the amount tendered is $100.00. These values should be built into your program using assignment statements rather than input into the program during program runtime. Your program should indicate how many bills and coins of each denomintaion are needed for the change. You should make use of the following denominations: Bills:...
1. For the following functions, find ∆y (the exact change) and dy (the approximate change from...
1. For the following functions, find ∆y (the exact change) and dy (the approximate change from a linear approximation) for the given functions. (i) f(x) = x + 4/x , x = 2, ∆x = .1 (ii) f(x) = x/ln (x2 + 3), x = 3, ∆x = .5 2. A pretzel vendor at a dodgers game sells 920 pretzels per game at a price of $4.00. For every $0.50 decrease in price an additional 20 pretzels are sold. The...
10. Show that (1-x-x^2-x^3-x^4-x^5-x^6)^-1 is the generating function for the number of ways a sum of...
10. Show that (1-x-x^2-x^3-x^4-x^5-x^6)^-1 is the generating function for the number of ways a sum of r can occur if a die is rolled any number of times