25. Each morning Gataro does one of the following exercises: \( \quad \) cycling, jogging or weightlifting. He chooses the exercise to do by rolling a fair die. The faces of the die are numbered \( 1,1,2,3,4 \) and 5 . If the score is 2,3 or 5 , he goes for cycling. If the score is 1 , he goes for jogging. If the score is 4 , he goes for weightlifting. (a) Find the probability that: (i) on a given morning, hoes for cycling or weightlifting: (ii) on two consecutive mornings he goes for jogging.

In how many ways can the digits in the number \( 7,441,111 \) be arranged?

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?

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?

\( 1 \leftarrow \quad \begin{array}{l}\text { In a race in which five automobiles are entered and there are no ties, in how many ways can the } \\ \text { first three finishers come in? }\end{array} \)