Betsy is making a flag. she can choose 3 colors out of red, white, blue, and yellow. How many choices does she have?
3*4=12
3=number of colors she can choose
4=number of colors to pick from
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PIE
To find the number of choices Betsy has, we need to determine the number of ways she can choose 3 colors out of the given options.
To do this, we can use the concept of combinations, also known as "n choose k" or binomial coefficients.
In this case, Betsy has 4 colors to choose from (red, white, blue, and yellow) and she needs to select 3 of them.
The formula to calculate the number of combinations is:
C(n, k) = n! / (k! * (n - k)!)
Where n! represents the factorial of n, which is the product of all positive integers less than or equal to n.
Using this formula, we can calculate the number of choices for Betsy:
C(4, 3) = 4! / (3! * (4 - 3)!)
= (4 * 3 * 2 * 1) / ((3 * 2 * 1) * (1))
= 4
Therefore, Betsy has 4 choices to make her flag.