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

Solution:

Let number of upgrade options = p

Let total number of distinct variations in which 256 new homes is available = k

So, p × p× p.....k times = 256

⇒$p^k= 256$

256= 2  × 2 ×2 ×2 ×2 ×2 ×2 ×2= $2^6$

256= 4  ×4  ×4  × 4=$4^4$

So,Either, number of upgrade options = 2 ,

Or , Number of upgrade options = 4