Answer:
There are 364 ways of filling the offices.
Step-by-step explanation:
In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:
where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1
The roots of an equation are simply the x-intercepts of the equation.
See below for the proof that has at least two real roots
The equation is given as:
There are several ways to show that an equation has real roots, one of these ways is by using graphs.
See attachment for the graph of
Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)
From the attached graph, we can see that crosses the x-axis at approximately <em>-2000 and 2000 </em>between the domain -2500 and 2500
This means that has at least two real roots
Read more about roots of an equation at:
