Among the eight nominees for two vacancies on a school board are four men and four women. How many ways can the vacancies be filled   a) With any two of the eight nominees?   b)With any two of the female nominees?   c) With any one of the male nominees and one of the female nominees?

In an election for class president, 1200 votes are tallied for 3 Candidates: Ying Ying, Andrew, and Perry.If Ying Ying received 30% of the votes, and Andrew gets 40% of the remaining votes. 4) How many votes did Ying Ying receive 5) Above,when it says “remaining votes”, how many votes does this refer to 6? How many votes did Andrew and Perry each receive 7) who won the election and with how many votes

A volleyball team consists of 14 players: There are 6 rookies and the rest of the players are veterans. a) In how many ways can they select a group of 4 to play a sand volleyball game if exactly three of the players must be rookies. b) In how many ways can they select a group of 4 to play a sand volleyball game if at least three of the players must be rookies.

15) Use the situation below to answer the question that follows. Team Jet has 7 members who won a school competition. Of these 7, 4 members are randomly picked to receive prizes for winning. The 1st member selected wins a $50 gift card; the 2nd person selected wins a $25 gift card; the 3rd person selected wins a $10 gift card; the 4th person selected wins a $5 gift card. The names of Team Jet's members are represented by the first letter of their first names, as displayed in the following table: Name Frank Gina Harriet Inez Jakob Keven Liu Letter F G H I J K L In the box below, complete the remaining three rows of the list that models how to calculate the number of possible ways 4 team members can be selected to win the prizes. 1) FGHIJKL Let Lui win the 1st prize, so select L. 2) 3) 4)