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