Finding Outcomes — Quiz Answers

Set cap x is made up of the possible ways five students, represented by cap A , cap b , cap c , cap d , and cap e , can be formed into groups of three. Set cap y is made up of the possible ways five students can be formed into groups of three if student cap A must be in all possible groups. Which statements about the situation are true? Choose three correct answers.

Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement, 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? sub 10 cap c sub 4 is equal to the fraction with numerator 10 factorial and denominator open paren 10 minus 4 close paren factorial 4 factorial

Evaluate the expression. 4 factorial times 3 factorial

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?

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? sub 9 cap p sub 3 is equal to the fraction with numerator 9 factorial and denominator open paren 9 minus 3 close paren factorial

A membership committee of three is formed from four eligible members. Let the eligible members be represented by cap A , cap b , cap c , and cap d The possible outcomes include cap s is equal to ABC, ABD, ACD, BCD . Which statements about the situation are true? Choose three correct answers.

Three out of seven students in the cafeteria line are chosen to answer survey questions. How many different combinations of three students are possible? sub 7 cap c sub 3 is equal to the fraction with numerator 7 factorial and denominator open paren 7 minus 3 close paren factorial 3 factorial