Based on the information provided, it follows that there are 1,728 possible seating arrangements.
<h3>How can we find the number of possible arrangements?</h3>
To find the number of arrangements in this problem situation we must take into account the following key factors:
- Chris only has 1 possible seat.
- Jo has 2 possible seats.
- Dave, Alex, and Barb have 3 possible seats.
- Gareth, Fred, and Eddie have 3 possible seats.
- There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.
According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.
<h3>What is factoring?</h3>
A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.
In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:
- Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
- Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
- Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24
Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:
- Number of possibilities = 1 × 2 × 6 × 6 × 24
- Number of possibilities = 1728
Learn more about the factorial function in: brainly.com/question/16674303
The answer is:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
If we take the perimeter of the park as being equivalent to the distance that Anwar walks, then we can calculate the number of blocks he walks and then multiply this by the width of each block, thus:
Number of blocks walked = 1 + 2 + 2 + 1 + 1 + 1 = 8
Distance walked = 8*300 = 2400 feet
(You could also draw a diagram to help present this in a visual way but it is not necessary)
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:
