Answer:
To ensure that they all have the equal amount of power; to make sure one branch doesn't have more power than the others.
<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula.
The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get:
7! / (5!*2!) = 7*6 / 2 = 21
21 subsets can be created</span>
<em><u>ANSWER</u></em>
My answer is in the photo above
Answer:
m∠V ≈ 61°
Step-by-step explanation:
The hypotenuse and the side opposite the angle of interest are given. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(V) = XW/XV = 7/8
The inverse sine function is used to find the angle:
V = arcsin(7/8) ≈ 61°
The requirement is that every element in the domain must be connected to one - and one only - element in the codomain.
A classic visualization consists of two sets, filled with dots. Each dot in the domain must be the start of an arrow, pointing to a dot in the codomain.
So, the two things can't can't happen is that you don't have any arrow starting from a point in the domain, i.e. the function is not defined for that element, or that multiple arrows start from the same points.
But as long as an arrow start from each element in the domain, you have a function. It may happen that two different arrow point to the same element in the codomain - that's ok, the relation is still a function, but it's not injective; or it can happen that some points in the codomain aren't pointed by any arrow - you still have a function, except it's not surjective.
