Sara has to buy two tops from her pocket money. She can choose two colors from pink, red, white, and black. How many different color combinations does she can choose?
What are your answer choices?
pink - red
pink - white
pink - black
red - white
red - black
white - black
To determine the number of different color combinations Sara can choose, we need to calculate the number of ways she can select two colors from the given four options.
One approach to solving this problem is by using the concept of combinations. 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 we want to choose.
In this case, Sara has four color options (pink, red, white, black), and she needs to select two of them.
Using the formula, we can calculate the number of different color combinations as follows:
C(4, 2) = 4! / (2! * (4 - 2)!)
= 4! / (2! * 2!)
= (4 * 3 * 2!) / (2! * 2 * 1)
= (4 * 3) / (2 * 1)
= 12 / 2
= 6
Therefore, Sara can choose from 6 different color combinations.