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.

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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
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?
Transcribed Image 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?
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