The Jacobsens are planning to build a house in a new development. They can either build the base model offered by the builder or add any of the following options: deck, hot tub, security system, or hardwood flooring. How many different variations are possible

The different variations that is possible are :

-16 ways

Number of available options other than the base model = 4.

Jacobsen can choose :

Base model OR (base model + one option) OR (base model + 2 options) OR (Base model + 3 options) OR (Base model + 4 options)= 4C0 + 4C1 +

4C2 + 4C3 + 4C4

Learn more about "Combination":

link

16 ways

Step-by-step explanation:

Number of available options other than the base model = 4

Hence ;

Jacobsen can choose :

Base model OR (base model + one option) OR (base model + 2 options) OR (Base model + 3 options) OR (Base model + 4 options)

4C0 + 4C1 + 4C2 + 4C3 + 4C4

Recall:

nCr = n! / (n-r)!r!

Using calculator :

4C0 + 4C1 + 4C2 + 4C3 + 4C4

1 + 4 + 6 + 4 + 1

= 16 ways

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )