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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

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Answer:

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

Cetacea

The different variations that is possible are :

-16 ways

"Permutation and Combination"

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

Formula:

  • nCr = n! / (n-r)!r!
  • nCr =4C0 + 4C1 + 4C2 + 4C3 + 4C4
  • nCr =1 + 4 + 6 + 4 + 1
  • nCr= 16 ways

Learn more about "Combination":

https://brainly.com/question/1550504?referrer=searchResults

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