If x is a set containing n elements:
1. how many functions are there f : x -> x?
2. how many relations are there r : x -> x?

Ques 1)

       Number of functions from X to X are:  

Ques 2)

     Number of relation from X to X are:

Relation--

A relation from a set A to set B is the set of all the ordered of the type:

(a,b) where a belongs to A and b belongs to B.

if A has m elements and B has  n elements.

Then the total number of relation from A to B are:

Function--

A function from a set A to set B is the set of all the ordered pair where each element of set A is mapped to a single element of the other set.

i.e. every element has a single image.

if A has m elements and B has  n elements.

Then the total number of functions  from A to B are:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it