Question

When buying a new dress, you have a choice of 3 different lengths, 5 different colors, and 2 different styles. How many choices are there for one dress?

Answer 1

It is three because there is one of everything

Answer 2

Answer with explanation:

Number of choices in Length for a dress  = 3

Number of choices in Color for a dress= 5

Number of choices in Style for a dress= 2

To select a length out of 3 length ,which can be done in  $_{1}^{3}\textrm{C}$

To Select a color, among 5 different colors , can be done in  $_{1}^{5}\textrm{C}$.

To Select a Style, among 2 different styles , can be done in  $_{1}^{2}\textrm{C}$.

Total Number of ways

       $=_{1}^{5}\textrm{C}\times_{1}^{3}\textrm{C}\times_{1}^{2}\textrm{C}\\\\= 5 \times 3 \times 2\\\\=30$