Answer:
720
Step-by-step explanation:
I will use the following counting principle:
Product rule: if there are n ways of doing something, and m ways of doing another thing, there are n×m ways of doing both things.
First, we have to choose the 3 people that will be in the first row. This is a 3-element subset of the set of six people, therefore there are
ways of doing this.
Now, we have to arrange the order of the 2 lrows. Each one has 3 people, so there are 3!=6 ways to form one rows. Hence, there are 3!²=36 ways of arranging the two rows.
By the product rule, there are 20×36=720 ways of arrange the officers.
Answer:
54
Step-by-step explanation:
108 divided by 2 is 54 making the value of y 4. Hope this helps!
Answer:
Michael's house is 16 miles away from work.
Step-by-step explanation:
We are given the following in the question:
Total distance traveled by Michael at the end of the workweek = 160 miles.
Let
miles be the distance between Michael's house from work.
Thus, total distance covered in one day =

Total distance covered in one weekday(5 days) =

Equating,

Thus, Michael's house is 16 miles away from work.
Answer:
It’s a square-based pyramid
base(1) is the square on the bottom- ABCD
Faces(4) are the triangles on the sides eg- AED, DEC, CEB, BCA
There are 8 edges, four being at the bottom around the base and the other four being alone the faces
Finally there are 5 vertices, four being at the corners of the base and the fifth being the tip of the pyramid
Step-by-step explanation: