Solution-Explain how generating functions can be used

Explain how generating functions can be used

Reference no: EM131573195

Question: Explain how generating functions can be used to find the number of ways in which postage ofr cents can be pasted on an envelope using 3-cent, 4-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 the order in which they are pasted on matters.

c) Use your answer to part (a) to determine the number of ways 46 cents of postage can be pasted on an envelope using 3-cent, 4-cent, and 20-cent stamps when the order the stamps are pasted on does not matter. (Use of a computer algebra program is advised.)

d) Use your answer to part (b) to determine the number of ways 46 cents of postage can be pasted in a row on an envelope using 3-cent, 4-cent, and 20-cent stamps when the order in which the stamps are pasted on matters. (Use of a computer algebra program is advised.)

Reference no: EM131573195

Questions Cloud

Discuss p.r.i.c.e. of success : Why do you think the PRICE attributes are important as it relates to your life academically, professionally and personally

The technology leadership team is very anxious : Write a 1-page recommendation that provides a clear rationale for recommending at least one monitoring and one diagnostics tool to be incorporated.

How much should plate measure its inventory in balance sheet : How much should Plate measure its inventory in its balance sheet?

Prepare a schedule showing the distribution of net income : McGill and Smyth have capital balances on January 1 of $52,000 and $47,000, respectively. Prepare a schedule showing the distribution of net income

Explain how generating functions can be used : Explain how generating functions can be used to find the number of ways in which postage ofr cents can be pasted on an envelope using 3-cent, 4-cent.

Describe and derive an expression for marginal cost curve : Describe and derive an expression for the marginal cost (MC) curve. What are the profit-maximizing price and output levels for Paradise Shoes?

What is the present value of stream of payments : What is the present value of a stream of payments that starts at $100 at t = 1 (time in years) and grows at 3 percent for 5 years (to t = 6),

Formation and evolution of the solar system : What is the interrelationship between gravity and energy and how they influenced the formation and evolution of the solar system?

Dimensional stress analysis : The tensile force acting on the hatched area of the cross-section - dimensional stress analysis, the state of stress at a point

User Account

All Pages

Explain how generating functions can be used

Reference no: EM131573195

Reference no: EM131573195

Questions Cloud

Reviews

Write a Review

Mathematics Questions & Answers

Questions on ferris wheel

Logistic map

Finding the probability of cards

Systems of ode

Derive the boolean expression

System of equations

Linear programming problem

Find the natural domain

Introduction to numerical methods

Chart of the topological manifold

Mathematics in computing

Complex problems

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT