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

Explain briefly how firewalls protect network, Explain briefly how firewall...

Explain briefly how firewalls protect network.       A firewall is simply a program or hardware device that filters the information coming by the Internet connection into your

What is a symbolic constant, What is a symbolic constant? How it is defined...

What is a symbolic constant? How it is defined ? Symbolic constants are constants of any type declared by using the #define compiler directive. It is a preprocessor directive.

What are the different tones used in strowger telephony, What are the diffe...

What are the different tones used in strowger telephony? Explain with the help of waveforms and the timings. Dial Tone: it is used to indicate that the exchange is ready to r

Main characteristics of horizontal organizational structure, What are the m...

What are the main characteristics of Horizontal Organizational Structure? Horizontal Organization’s main characteristics are given below: The work is structured all aroun

Differentiate between the message and method in c++, Message in C++ : *...

Message in C++ : * Objects converse by sending messages to each other. * A message is sent to invoke a method in C++.   Method in C++: * Gives response to a message

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 neural networks, A neural network can be definite as a model of rea...

A neural network can be definite as a model of reasoning based on the human brain. The human brain incorporates nearly 10 billion neurons and 60 trillion connections, Synapses amon

What are the mapping techniques, What are the mapping techniques? a)Dir...

What are the mapping techniques? a)Direct mapping b) Associative mapping c)  Set associative mapping

What is home banking, Home Banking: E-commerce is used in Home Banking ...

Home Banking: E-commerce is used in Home Banking as single call or single click. Online banking (Internet banking) is a term used for performing transactions, payments etc. ove

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