The houses can be placed in 362,880 ways.
<u>Step-by-step explanation:</u>
The 9 houses are each in different design.
The each lot can place any of the 9 houses.
- The 1st lot can place anyone house of all the 9 houses.
- The 2nd lot can place one of remaining 8 houses.
- The 3rd lot can place one of remaining 7 houses.
Similarly, the process gets repeated until the last house is placed on a lot.
<u>From the above steps, it can be determined that :</u>
The number of ways to place the 9 houses in 9 lots = 9!
⇒ 9×8×7×6×5×4×3×2×1
⇒ 362880 ways.
Therefore, the houses can be placed in 362880 ways.
P=Q+20
or equivalently
P-Q=20
Edited 2018-03-18
Thank you Louli!
If k is the scale factor between the dimensions of the similar solids, the areas are related by k² and the volumes are related by k³. That is


The areas are related by k², so



The ratio of the surface area of solid A to that of solid B is ...
1/16
Answer:
See below.
Step-by-step explanation:
So we have the equation:

On the right, factor out an x:

Divide both sides by (2+6z). The right will cancel:

And we're done!