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

Recurrence relation, Take the following recurrence relation consider only f...

Take the following recurrence relation consider only for n = 2k for integers k ≥ 1: T(2) = 9, and for n ≥ 4, T(n) = n + T(n /2). Three students were working together in a stu

Explain turing reducibility, Explain Turing reducibility?  Exponential ...

Explain Turing reducibility?  Exponential time algorithms typically happens when we solve by searching by a space of solutions known as brute -force search

Define virtualisation and explain computer architecture, Rentrag has decide...

Rentrag has decided to replace all of the computers currently being used by all of the business and office staff. He has asked you to recommend a set of specification for computers

How many input ANDand OR gates are required, How many two input AND gates a...

How many two input AND gates and two input OR gates are required to realize Y = BD+CE+AB ? Ans. Here three product terms, therefore three AND gates of two inputs are needed.

Explain essential properties of real time operating system, Describe the es...

Describe the essential properties of the Real Time operating systems. Real time operating system has following essential properties: Time constraint result Priority

State about the mp4- mpeg-4, MP4 (MPEG-4) MPEG-4 files are in a format ...

MP4 (MPEG-4) MPEG-4 files are in a format which can hold a mixture of multimedia objects like video, audio, animation, images etc. MP4 players again use compression technology

What is the purpose of iop, What is the purpose of IOP. The purpose of ...

What is the purpose of IOP. The purpose of IOP is to given an independent path way for transfer of information among external and internal memory.

How atoms differ from the arrangement of atoms in a liquid, Q. How does the...

Q. How does the preparation of atoms in mainly solids differ from the arrangement of atoms in a liquid? Answer:- The arrangement of atoms in solids are diverse from those

Determine flip flop the msi chip is dual edge triggered, The MSI chip 7474 ...

The MSI chip 7474 is ? Ans. MSI chip 7474 is TTL, dual edge triggered D Flip-Flop.

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