Tonya and Lauren are designing a soccer uniform.they want to use two colors on the shirt.their choices are green, orange,yellow, purple,blue and silver. How many ways can they choose two colors?
To find out how many ways Tonya and Lauren can choose two colors for the soccer uniform, we can use the concept of combinations.
In this case, we need to calculate the number of combinations of 2 colors out of the given choices.
The formula to calculate combinations is:
C(n, r) = n! / (r! * (n - r)!)
where n is the total number of options and r is the number of options to choose.
In this scenario, n = 6 (since there are 6 color choices) and r = 2 (since Tonya and Lauren want to choose 2 colors).
Using the formula, we can calculate:
C(6, 2) = 6! / (2! * (6 - 2)!)
= 6! / (2! * 4!)
= (6 * 5 * 4!)/ (2! * 4!)
= (6 * 5) / (2 * 1)
= 30 / 2
= 15
Therefore, Tonya and Lauren have 15 ways to choose two colors for their soccer uniform.