Jenny carries out another experiment. This time, she picks out a marb records the colour and does not put it back in the bag. She does this twice. Draw a tree diagram for this experiment.

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 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?

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

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

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.