Question

A website sells custom messenger bags in 5 sizes. For each size, there are 52 color/fabric combinations. Any of these 52 can be chosen for the left, center, and right panel. In addition, there are 18 different choices of binding color, 26 choices of logo color, 12 choices of liner color, and 49 choices of strap pad color. There are 2 choices for the interior style. The bag can be right- or left-handed. It can be ordered with or without a grab strap, a chiller insert, a camera insert, and a water bottle pocket. How many different bags are possible?

Answer 1

1.238 * 10^13

Explanation:

Number of sizes = 5

Color combination per size = 52

Panel option for each combination = 3

Binding color = 18 choices

Logo color = 26 choices

Liner color = 12 choices

Strap pad color = 49 choices

Interior style = 2 choices

Right or led handed = 2 choices

Chiller or not = 2 choices

Grab strap or not = 2 choices

Camera insert or not = 2 choices

Water bottle pocket or not = 2 choices

(5 x 52^3 * 18 * 26 * 12 * 49 * 2^6)

= 12381782999040

= 1.238 * 10^13 choices