Application of Discrete Mathematics

Running head: Discrete Mathematics
APPLICATION OF DISCRETE MATHEMATICS
Name of the Student
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1Discrete Mathematics
Problem Statement:
To win any specific lottery game, a player chooses 4 numbers from 1 to 60. Each
number can only be chosen once. If all the 6 numbers matches the 4 winning numbers,
independent of the orders that player will win the game. What is the probability that the
winning numbers are (9, 11, 25, 59)?
Addressing the above problem with the concept of permutation:
As per the rules of the permutation
60 P 4
= 60! / (60 – 4)! * 4!
= 487635
As per the question:
P (9, 11, 25, 59) = 1 / 487635 is the numbers of possibilities for the person to win that match.
Key finding from the above problem:
1. It is very difficult for a person to operate such grand lottery game, as it is a time
taking process.
2. There is a high chance of game fixing.
3. The possibility of rigging is also cannot be ignored.
The below report is about analysing these issues with the aspects of discrete mathematics.
And the it also provides solution in order to address these issues.

2Discrete Mathematics


3Discrete Mathematics
Introduction:
Relating to the above problem this report will discuss about various aspects of
Discrete mathematics. It is a mathematical field in which the observed results are discrete
rather than continuous (Rosen et al., 2017). There are several procedures in discrete
mathematics to determine discrete answers for a numerical problem. In this report, the aspect
of probability in order to determine discrete answers of numerical problems like lottery has
been discussed. This report will also discuss the problem statement of the mentioned
problem. In order to analyze the impact of manual procedure in the real world, this report has
also mentioned how the problems of manual lottery system is addressed by the computerized
approach in real life (Toth., 2017). After analysing all the finding the report will also provide
the solution to address the mentioned problem along with the specification of the used
algorithm. Lastly, the study will conclude how the computerized application of discrete
mathematics has helped to determine the probable result of a lottery game.
Problem Definition:
From the finding of the mentioned numerical problem one of the significant issues has
been observed that while playing any lottery game using the manual procedure there were
several risk factors of losing the money for a new user as there is a high chance of game
fixing by the regular players. The risk of rigging also cannot be avoided. Thus, in the manual
lottery system, there is a significant problem regarding the player's equality (Auer et al.,