1. Using generating functions, find the number of ways to make change for a $100 bill using only dollar coins and $1, $2, and $5 bills. explain in detail
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1. Using generating functions, find the number of ways to make change for a $100 bill...
Find a generating function for the number of ways to make n cents in change using only pennies, nickels, and dimes.
algebraic combinatoric 1. Let b be the number of ways to change 6 cents. Find the generating function ". For which n we can actually change n cents this way (that is, bn > 0)? n cents using coins valued 4 and 1. Let b be the number of ways to change 6 cents. Find the generating function ". For which n we can actually change n cents this way (that is, bn > 0)? n cents using coins valued...
Using generating functions, find the number of solutions of the equation (For ф type C(6,4), and for 5l type fact (5).) Using generating functions, find the number of solutions of the equation 7. (For φ type C(6,4).) Using generating functions, find the number of solutions of the equation (For φ type C(6,4).) Using generating functions, find the number of solutions of the equation (For ф type C(6,4), and for 5l type fact (5).) Using generating functions, find the number of...
What generating functions can be used to find the number of ways in which postage of r cents can be pasted on an envelope using 1-cent, 3-cent, and 20-cent stamps? (a) Assume that the order the stamps are pasted on does not matter. (b) Assume that the stamps are pasted in a row and their order matters.
12. Using generating functions, find the number of solutions of the equation 41 type C(6,4).) (For ( 12. Using generating functions, find the number of solutions of the equation 41 type C(6,4).) (For (
10. Using generating functions, find the number of solutions of the equation 7. (For φ type C(6,4), and for 5! type fact (5).) 10. Using generating functions, find the number of solutions of the equation 7. (For φ type C(6,4), and for 5! type fact (5).)
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -22, where 1 < 6, i-1,...,4, 2 Suj ui (For (.) type C(6,4).) 11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -22, where 1
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -19, where 1 < 7,i,...,4, 2 Suj ui 9. (For () type C(6,4).) 11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -19, where 1
Using Java programming languague find the total number of different coin changes to make change for N cents, and we have infinite supply of each of S = {5, 2, 1} valued coins.
1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways are there to select 20 balls? 2. A b ox 3. Find a1e for each of the following generating functions: 1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways...