Finding Outcomes Answers

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?

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?

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.There are 10 possible ways to choose the group of towels.The combination BC is not the same as CB.She has four choices for the first brother’s towel and three choices for the second brother’s towel.ABC, ABD, ABE, ACD, ACE, and ADE are the possible outcomes.If Fiona did not choose towel A for herself, there would be more outcomes.

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.There are four ways to choose the committee.There are three ways to form the committee if person D must be on it.If seven members are eligible next year, then there will be fewer combinations.If persons B and C must be on the committee, there are two ways to form the committee.If persons A and C must be on the committee, then there is only one way to form the committee.

Evaluate the expression.4! • 3!

Three out of nine students in the computer club are getting prizes for first, second, and third place in a competition.How many ways can first, second, and third place be assigned?

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?

How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.How many different ways are there to present those ribbons if the order matters?

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