tonya and lauren are designing a soccer uniform. They want 2 colors on the shirt. the choices are green, orange, yellow, purple, blue and silver. How many ways can they choose 2 colors?
6C2=6!/(6-2!)2!=6!/4!2!=6X5X4X3X2/4X3X2X2=(cross out 4x3x2 on the top and bottom)=30/2=15
How many colors can green orange yellow purple blue and silver go in
To determine the number of ways Tonya and Lauren can choose 2 colors for the soccer uniform, we can use the concept of combinations. The formula for calculating the number of combinations is given by:
C(n, r) = n! / (r!(n - r)!)
Where "n" represents the total number of choices, and "r" represents the number of choices to be made.
In this case, n = 6 (the total number of colors available) and r = 2 (the number of colors to be chosen).
Substituting these values into the formula:
C(6, 2) = 6! / (2!(6 - 2)!)
= 6! / (2!4!)
= (6 * 5 * 4!) / (2! * 4!)
= (6 * 5) / (2!)
= (30) / (2)
= 15
Therefore, Tonya and Lauren can choose 2 colors for the soccer uniform in 15 different ways.