Discrete mathematics is defined as the study of mathematical structures that are logically discrete rather than continuous. Discrete mathematics had a concept in topics in "continuous mathematics" such as calculus and analysis
The set of conepts studied in discrete mathematics can be finite or infinite. Some of the mathematical relations often considered i part of discrete mathematics are Boolean algebra, the mathematics of social choice, linear programming, and number theory
Discrete mathematics includes sets, functions and relations, matrix algebra, combinatory and finite probability, graph theory, finite differences and recurrence relations, logic, mathematical induction, and algorithmic thinking.
Applications of Discrete Mathemetics:
It can be applicable in various fields such as combinational analysis, functional system theory, codings, crptology,etc
It can also be used in graph theory, probabilistic problems of discrete mathemetics, and it has the applications of algorithms and their complexity and computational problems of number theory and of algebra
It can be also used in vital, exciting and useful information about mathemetics that will be very useful to taught the lower and higher grade
Problems by Using Discrete Math Applications:
1. By using discrete mathematics find the value of n.
(1). (n+ 1)! = 10 * 9(n!)
Solution:
(n+1)! = 10 * 9(n!)
here expanding the factorization that gives
(n + 1) n! = 10 * 9n!
now cancel n! on both the sides
we get n+1 = 90
n = 90 – 1 = 89
therefore n = 90 .
(2). 1/4! + 1/5! = n/6!
Solution:
1/4 + 1/5(4!) = n/6.5(4!)
now cancel 4! On both sides
1 + 1/5 = n/6.5
6/5 = n/30
n = (30 * 6)/5 = 180 /5 = 36
Therfore we get n = 36.
2. Find the following factorial question by using discrete mathemetic
Where n = 4 and r = 2 find the values of
(1). n! / r!
Solution:
n! / r! = 4! / 2! = 4.3.2.1 / 2.1 = 12.
Therfore n! / r! =12
(2). n! /r!(n- r )!
Solution:
n! / r!(n-r)! = 4! / 2!(4-2 )!
= 4.3.2.1 / 2!
= 4.3.2.1 / 2.1
therefore n! / r!(n-r)! =12.
The set of conepts studied in discrete mathematics can be finite or infinite. Some of the mathematical relations often considered i part of discrete mathematics are Boolean algebra, the mathematics of social choice, linear programming, and number theory
Discrete mathematics includes sets, functions and relations, matrix algebra, combinatory and finite probability, graph theory, finite differences and recurrence relations, logic, mathematical induction, and algorithmic thinking.
Applications of Discrete Mathemetics:
It can be applicable in various fields such as combinational analysis, functional system theory, codings, crptology,etc
It can also be used in graph theory, probabilistic problems of discrete mathemetics, and it has the applications of algorithms and their complexity and computational problems of number theory and of algebra
It can be also used in vital, exciting and useful information about mathemetics that will be very useful to taught the lower and higher grade
Problems by Using Discrete Math Applications:
1. By using discrete mathematics find the value of n.
(1). (n+ 1)! = 10 * 9(n!)
Solution:
(n+1)! = 10 * 9(n!)
here expanding the factorization that gives
(n + 1) n! = 10 * 9n!
now cancel n! on both the sides
we get n+1 = 90
n = 90 – 1 = 89
therefore n = 90 .
(2). 1/4! + 1/5! = n/6!
Solution:
1/4 + 1/5(4!) = n/6.5(4!)
now cancel 4! On both sides
1 + 1/5 = n/6.5
6/5 = n/30
n = (30 * 6)/5 = 180 /5 = 36
Therfore we get n = 36.
2. Find the following factorial question by using discrete mathemetic
Where n = 4 and r = 2 find the values of
(1). n! / r!
Solution:
n! / r! = 4! / 2! = 4.3.2.1 / 2.1 = 12.
Therfore n! / r! =12
(2). n! /r!(n- r )!
Solution:
n! / r!(n-r)! = 4! / 2!(4-2 )!
= 4.3.2.1 / 2!
= 4.3.2.1 / 2.1
therefore n! / r!(n-r)! =12.
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