A high school class consists of 5 seniors, 10 juniors, 13 sophomores, and 12 freshmen. Exactly 4 of the juniors are male, and exactly 5 of the sophomores are female. If two students are randomly selected from this class, what is the probability that the pair consists of a female junior and a male sophomore? The probability is (Type an integer or a simplified fraction.)

Question 10, 11.2.47 At a benefit concert, nine bands have volunteered to perform but there is only enough time for six of the bands to play. How many lineups are possible?

A club with fifteen members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?

Question A small ice cream shop conducted a survey asking customers what their number one favorite flavor ice cream is. The results showed that 51 favor vanilla, 44 favor strawberry, 60 favor chocolate, and favor other flavors. What is the probability that a randomly selected customer favors either vanilla of strawberry? Enter your answer as a simplified fraction.

Question A small ice cream shop conducted a survey asking customers what their number one favorite flavor of ice cream is. The results showed that 51 favor vanilla, 14 fayor strawbery, 60 favor chocolate, and 11 favor other flavors. What is the probability that a randomly selected customer favors either vanila or strawberry? Enter your answer as a simplified fraction.

Q Question 3, 11.1.15 You are taking a multiple-choice test that has 4 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?