Question

A company that builds homes advertises that by choosing from its upgrade options each of its new homes is available In 256 different variations. How many upgrade options does the company offer

Answer 1

The company offers 8 upgrade options that can be combined in different ways to provide 256 unique variations of their new homes, using the mathematical principle that 2 raised to the power of 8 equals 256.

Step-by-step explanation:

The question relates to the number of possible combinations that can be made with a set number of options. If each new home is available in 256 different variations and we assume that each upgrade option is a binary choice (e.g., chosen or not chosen), we can use the formula 2^n to find the number of upgrade options (where n is the number of options and 2 represents the binary choices).

To find the number of upgrade options needed to create 256 variations, we would solve the equation 2^n = 256. We know that 2 to the power of 8 equals 256 (since 2^8 = 256), so the company must offer 8 upgrade options.

Answer 2

9514 1404 393

Answer:

perhaps 8

Step-by-step explanation:

We note that 256 = 2^8 = 4^4

If each of the options is independent and binary (included or not), then there could be 8 such upgrade options.

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If each of the options is independent and has 4 possible choices, then there could be 4 such options.