Find the generating function, Computer Engineering

Assignment Help:

Find the generating function to denote the number of ways the sum 9 can be acquired while 2 distinguishable fair dice are tossed and the first shows an even number and the second shows an odd number.

Ans: suppose x1 and x2 be the variable denoting the outcomes on the two dice the x1 has values 2, 4, 6 and x2 has 1, 3, 5. Here now polynomial for variable x1 and x2 can be written as (x2 + x4 + x6) and (x + x3 + x5) correspondingly.

So the number of ways sum 9 can be acquired is equal to the coefficient of x9 in the expression (x2 + x4 + x6) (x + x3 + x5). This is equal to 2.


Related Discussions:- Find the generating function

Calculate switching capacity in a two stage network, In a two stage network...

In a two stage network there are 512 inlets and outlets, r=s=24. If the probability that a given inlet is active is 0.8, calculate: Switching capacity Given: N =M =512, α

What are the advantages of inheritance in c++, It allows code reusability. ...

It allows code reusability. Reusability saves time in program development. It encourages the reuse of proven and debugged high-quality software, thus decreasing problem after a sys

Define rules for reducing karnaugh maps, Define Rules for Reducing Karnaugh...

Define Rules for Reducing Karnaugh Maps? The rules for reducing Karnaugh Maps (k- maps) are as follows: All of the 1's in the Karnaugh Map are called as minterms. The

Define underflow and overflow, Define underflow and overflow. Underflow...

Define underflow and overflow. Underflow: If the result the arithmetic operation including n-bit numbers is too small to show by n-bits, underflow is said to occur. Overflow

Explain briefly how the bus topology operates, Question 1: a) The aim ...

Question 1: a) The aim of a computer network is to increase efficiency and reduce costs. Describe how networks achieve the above. b) Explain briefly how the bus topology op

Acting rationally - artificial intelligence, Acting Rationally: "Al" C...

Acting Rationally: "Al" Capone was finally convicted for tax evasion. Were the police reacting on rationally?? To solve this puzzle, we must first look at how the performance

Should validation occur server-side or client-side, Should validation (did ...

Should validation (did the user enter a real date) occur server-side or client-side? Why? Validation will be done in both sides i.e., at the server side and client side. Ser

Two services that are used to deal with communication, Explain about the tw...

Explain about the two services that are used to deal with communication. Message Service: Used by the application servers to change short internal messages, all system commu

Lifo under perpetual inventory procedure, Q. LIFO under perpetual inventory...

Q. LIFO under perpetual inventory procedure? LIFO under perpetual inventory procedure observes Exhibit to see the LIFO method using perpetual inventory procedure. In this proce

What is reducibility, What is reducibility?  The primary method of prov...

What is reducibility?  The primary method of proving some problems are computationally unsolvable.       It is known as reducibility. Reducibility always includes two problems

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd