Finding Outcomes Answers

Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5.Which set would be considered a subset of set V?

Evaluate the expression.4! • 3!

Holly chooses seven out of nine plants for the front of her house with the remaining plants to be used on the side of the house.If order does not matter, in how many ways can she choose the plants for the front of the house?

A dance instructor chose four of his 10 students to be on stage for a performance.If order does not matter, in how many different ways can the instructor choose the four students?

A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.Which statements about the situation are true? Select three options.

Set X is made up of the possible ways five students, represented by A, B, C, D, and E, can be formed into groups of three. Set Y is made up of the possible ways five students can be formed into groups of three if student A must be in all possible groups.Which statements about the situation are true? Select three options.

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Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she boards the bus: first, second, third, and fourth.If we know that Karen boards the bus first, which shows the possible outcomes for this event?

Fiona chooses three towels from a group of five to pack in her beach bag for herself and her two brothers. Let the five towels be represented by A,B,C,D, and E.If Fiona chooses towel A for herself, which statements about the possible outcomes for her brothers’ towels are true? Select three options.

Fiona needs to choose a five-character password with a combination of three letters and the even numbers 0, 2, 4, 6, or 8.If she uses her initials, F, J, and S in order as the first three characters, and she does not use the same digit more than once in her password, how many different possible passwords are there?