Betsy is making a flag. She must choose 3 colors from red, blue, yellow, and white. How many choices does she have?

red, blue yellow red blue white red yellow white blue yellow white so she has 4 choices

Answered by RhysH | 2024-06-10

Betsy has 4 different combinations of colors to choose from for her flag, calculated using the combinations formula.
Betsy has a choice of four colors (red, blue, yellow, white) and must choose three. To determine the number of different combinations Betsy can make, we use the combinations formula, which is C(n, k) = n! / (k!*(n-k)!), where n is the total number of items to choose from, k is the number of items to choose, and ! represents factorial.
In this case, n is 4 (the number of colors) and k is 3 (the number of colors Betsy wants to choose). So the calculation is:

Calculate factorials: 4! = 4 3 2 1 = 24, 3! = 3 2*1 = 6, and (4-3)! = 1! = 1.
Apply the combinations formula: C(4, 3) = 24 / (6*1) = 24/6 = 4.

Therefore, Betsy has 4 different combinations of colors she can choose for her flag.

Answered by NimishaJain | 2024-06-24

Betsy has 4 choices of colors for her flag when selecting 3 colors out of 4 available colors: red, blue, yellow, and white. The combinations are Red-Blue-Yellow, Red-Blue-White, Red-Yellow-White, and Blue-Yellow-White. Therefore, she has 4 unique combinations in total.
;

Answered by RhysH | 2024-09-30