Let A = { 1 , 2 , 3 , 4 , 5 } , and define a function F : P ( A ) → Z as follows: For each set X in P ( A ) , F ( X ) = { 0 if X has an even number of elements 1 if X has an odd number of elements Find the following: a. F ( { 1 , 3 , 4 } ) b. F ( ∅ ) c. F ( { 2 , 3 } ) d. F ( { 2 , 3 , 4 , 5 } )
Let A = { 1 , 2 , 3 , 4 , 5 } , and define a function F : P ( A ) → Z as follows: For each set X in P ( A ) , F ( X ) = { 0 if X has an even number of elements 1 if X has an odd number of elements Find the following: a. F ( { 1 , 3 , 4 } ) b. F ( ∅ ) c. F ( { 2 , 3 } ) d. F ( { 2 , 3 , 4 , 5 } )
Solution Summary: The author explains that the objective is to determine the value of F(varphi ).
Let
A
=
{
1
,
2
,
3
,
4
,
5
}
, and define a function
F
:
P
(
A
)
→
Z
as follows: For each set X in
P
(
A
)
,
F
(
X
)
=
{
0 if
X
has an even
number of elements
1 if
X
has an odd
number of elements
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY