Finding Outcomes Answers

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

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?

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?

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?

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?

Evaluate the expression.4! • 3!

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.Set X has 10 possible groupings.X YSet Y = {ABC, ABD, ABE, ACD, ACE, ADE}If person E must be in each group, then there can be only one group.There are three ways to form a group if persons A and C must be in it.

Six teammates are competing for first, second, and third place in a race.How many possibilities are there for the top three positions?

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

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?