Written Homework #2 Math 3303 - Spring 2022 Due: Monday February 21 1. In my drawer, I have one pair of socks of each of the following colors, red, green, blue, black, and white. How many socks do I...

Please help me with question number one Of my discrete mathematics homework. I think that i Must choose six out of the 10 to guarantee I have two of the same color But I am unsure. Could you please help me work this and justify my answer. Thank you

Extracted text: Written Homework #2 Math 3303 - Spring 2022 Due: Monday February 21 1. In my drawer, I have one pair of socks of each of the following colors, red, green, blue, black, and white. How many socks do I have to select from the drawer to guarantee that I have a matching pair? Justify your answer. 2. A group of seven people consists of four women and three men. From this group, four people will be selected to work as a team on a special project. How many four-person teams can be chosen? 3. A group of seven people consists of four women and three men. From this group, four people will be selected to work as a team on a special project. How many four-person teams can be chosen if the team must contain at least two women?