Question

At a curtain shop, curtains are available in 8 colors and 4 designs in each color. What is the total number of choices that a customer can choose from?

Answer 1

Hint: We have 8 different colors and 4 different designs. So in each design we have 8 colors. So simply the product of the number of colors and number of designs will be the available choices.

Complete step by step solution:
Given is 4 designs of curtains are available in 8 different colors.
So in each design there are 8 different colors.
Or we can say in 8 colors we have 4 different designs.
So the number of choices available for the customer will be the product of colors and designs.
So the choices equals to, \[8 \times 4 = 32\]
Thus a customer can choose any curtain of any design and color from 32 different choices.
So, the correct answer is “32”.

Note: Here we just need to calculate the number of choices available. If the question comes particularly of any design or any color then we will move towards a combination concept.
Note that the design of different colors are the same. like suppose stripped, dotted, plane and floral. These are the designs but the colors are different but print is the same. This is the concept above.
But if the designs are also different for all the 8 colors then in each color we will get 32 choices. And then the choices will be \[8 \times 32 = 256\]
Hope this is clear and not confusing you.