Finding Outcomes Answers

Evaluate the expression.4! • 3!

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?

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?

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?

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

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?

Three out of seven students in the cafeteria line are chosen to answer survey questions.How many different combinations of three students are possible?

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Helena has five different flowers. She plans to give one flower to each of her five teachers in any order. She gives the first flower to one of her teachers in the morning.In how many different ways can she give the four remaining flowers to the rest of the teachers in the afternoon?