Question

A website sells custom messenger bags in 5 sizes. For each size, there are 53 color/fabric combinations. Any of these 53 can be chosen for the left, center, and right panel. In addition, there are 17 different choices of binding color, 26 choices of logo color, 12 choices of liner color, and 48 choices of strap pad color. There are 4 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? There are different bags possible. (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)

Answer 1

The bags have 5 sizes. For each size, 53 color/fabric combinations are there, which can be chosen for any of the 3 panels.

Total combinations = 5*53*3 = 795.

There are 17 different choices of binding color, 26 logo color, 12 liner color and 48 strap pad colors.

Which makes the total combinations = 795*17*26*12*48 = 202400640

4 choices for interior design, can be left or right-handed, with or without grab strap, a chiller insert, a camera insert, and a water bottle pocket.

Which makes it 4*2*2*2*2*2 = 128

Total bage = 128*202400640 = 25907281920

There are 25907281920 different bags possible.