Question

Jamie has a cup holder that can hold 3 cups at a time. The cupholders are labeled a b c. He has three different cup colors blue green and purple. And how many ways can the cups be arranged in the cup holder?

Answer 1

Jamie can arrange the three cups of different colors in the cup holder in 6 different ways, as each position can be filled with any of the remaining cups in sequence.

Step-by-step explanation:

Let's determine in how many ways Jamie can arrange the three cups of different colors (blue, green, purple) in a cup holder with positions labeled a, b, c. Since there are three different cup colors and three positions to fill, Jamie can choose among three colors for the first position, two colors for the second position (since one color has already been used), and only one color will remain for the third position. Therefore, the total number of ways to arrange the cups is the product of these choices.

The calculation is as follows:

• Position a: 3 choices (blue, green, purple)
• Position b: 2 remaining choices
• Position c: 1 remaining choice

The number of arrangements is the product of these choices: 3 x 2 x 1 = 6 possible arrangements.

Answer 2

the answer is 1 or 2 cause if it is in abc order it can be purple blue green