The number of possible seats is an illustration of permutation
There are 1728 possible sitting arrangements
<h3>How to determine the number of seats</h3>
From the question, we have the following highlights:
- Chris can only take 1 seat (i.e. the central seat)
- Jo can take 2 seats (i.e. the seats adjacent the central seat)
- Alex, Barb and Dave can take 3! number of seats
- Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
- The remaining 4 adults do not have preference, then they can seat in 4! ways
So, the number of sitting arrangement is:
Evaluate the product
Hence, there are 1728 possible sitting arrangements
Read more about permutation at:
brainly.com/question/12468032
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Answer:
782.5inch³
Step-by-step explanation:
The question is on volume of a prism and that of a cylinder
Finding the volume of the prism
V=Bh where B is the base area and h is the height
Base area=14"×14"=196 inch²
height =8"
v=196×8= 1568 in³
Finding volume of the cylinder
v=r²h where r is the radius of cylinder and h is the height of cylinder
r=10/2=5 inches and h=10 inches
v=3.142×5×5×10=785.5inch³
The difference in volume
Difference in volume=1568-785.5=782.5in
The height of the car at the end of the ride is 4 meters
Answer with Step-by-step explanation:
Suppose that a matrix has two inverses B and C
It is given that AB=I and AC=I
We have to prove that Inverse of matrix is unique
It means B=C
We know that
B=BI where I is identity matrix of any order in which number of rows is equal to number of columns of matrix B.
B=B(AC)
B=(BA)C
Using associative property of matrix
A (BC)=(AB)C
B=IC
Using BA=I
We know that C=IC
Therefore, B=C
Hence, Matrix A has unique inverse .
