jade and isis are designing a soccer uniform they want use two colors on the shirt, their choices are green , orange, yellow, purple, blue silver. how many ways can they choose two colors?

To find out how many ways Jade and Isis can choose two colors from the given options, we can use the concept of combinations.

A combination is a selection of items where the order does not matter. In this case, Jade and Isis need to choose two colors, and the order in which they choose the colors doesn't matter.

To calculate the number of combinations, we can use the formula:

C(n, r) = n! / (r! * (n - r)!)

where:
C(n, r) represents the number of combinations of choosing r items from a set of n items,
n! represents the factorial of n (n factorial),
r! represents the factorial of r,
and (n - r)! represents the factorial of (n - r).

In this case, since Jade and Isis need to choose two colors out of six options, we'll use the formula with n = 6 and r = 2:

C(6, 2) = 6! / (2! * (6 - 2)!)

Now, let's calculate it step by step:

6! = 6 * 5 * 4 * 3 * 2 * 1 = 720
2! = 2 * 1 = 2
(6 - 2)! = 4! = 4 * 3 * 2 * 1 = 24

Substituting these values into the formula:

C(6, 2) = 720 / (2 * 24)
= 720 / 48
= 15

Therefore, Jade and Isis can choose two colors in 15 different ways from the given options.