Men and women line up at a checkout counter in a store. in how many ways can they line up if the first person in line is a manman?, and the people in line alternate manman?, womanwoman?, manman?, womanwoman?, and so? on?

Assuming that the question is "Four men and four women," the correct answer is 576. To figure this out, you will use the Fundamental Principles of Counting. This means that if there are x ways to do one thing, and y ways to do a different thing, then there will be x times y ways to do both of these things. For the first person in the line, you can choose from four men, and for the second person in line, you can choose from 4 women. For the third person in line, you can now choose from three men, and for the fourth person in line, you can choose from three women, and so on and so forth. So, to find the answer, you will multiply: 4 x 4 x 3 x 3 x 2 x 2 x 1 x 1