Sets and Venn Diagrams Answers

Three students, Angie, Bradley, and Carnell, are being selected for three student council offices: president, vice president, and treasurer. In each arrangement below, the first initial of each person’s name represents that person’s position, with president listed first, vice president second, and treasurer third. Which shows the possible outcomes for the event?

The number of ways six people can be placed in a line for a photo can be determined using the expression 6!. What is the value of 6!? Two of the six people are given responsibilities during the photo shoot. One person holds a sign and the other person points to the sign. The expression represents the number of ways the two people can be chosen from the group of six. In how many ways can this happen? In the next photo, three of the people are asked to sit in front of the other people. The expression represents the number of ways the group can be chosen. In how many ways can the group be chosen?

Eli chooses two shirts from a group of five to pack for a weekend trip. Let each shirt be represented by A, B, C, D, and E. Which statements about the situation are true? Check all that apply.The combination of AB and BA are the same. Each shirt can be paired with any one of other the remaining shirts. There are twenty possible ways to choose the group of shirts. He has five choices for the first shirt and five choices for the second shirt. If he chooses shirt B, there are four possible outcomes for choosing the second shirt.

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In how many ways can the letters in the word balloon be arranged?

Ten students need to present their reports. Five can present each day. How many ways can the teacher choose a group of five students to present their reports on the first day? How many ways can the teacher choose a group of 5 students to present on the first day if Marjorie must present on the first day?

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Which statements describe Lorelei’s solution? Check all that apply.