Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
1 answer:
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So
The manager can select a team in 61425 ways.
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Before we proceed on determining the transformation happening on this problem, it's better to see first the location of the figure by drawing it in a cartesian coordinate plane. We have
If we observe the figures and the coordinates of the plot, we can see that there is a difference of 1 on the x coordinates of P and y coordinates of Q. Therefore, the first transformation that we consider here is the movement of figure P by 1 unit to the left. We have
This transformation changes the location of figure P into
The next transformation will be the rotation of the red dotted figure on the figure above by 90 degrees counterclockwise. With this transformation, the coordinates will transform as
Hence, for the rotation, we have the new coordinates.
The transformed image, which is represented as NMPO, will now be at
For the last transformation, we will be reflecting the figure NMPO over the <em>y</em> axis. This changes the coordinates as
We now have the new coordinates:
As you can see, they have the same coordinates as figure Q.
The mapping rules for the sequence described above are as follows:
First transformation (moving one unit to the left (x-1,y))
Second transformation (rotation counter clockwise (-y,x))
Third Transformation (reflection over y-axis (-x,y))
