Please solve the problems below:

Solve each problem. 1 . There are 16 players in a chess game. Eight players are selected among them for every match. If four of the players must be selected for the next match, how many combinations of players are there for the next match? 2. Among these 28 marbles, 16 of them are black marbles, and 12 are white marbles. If 9 black marbles and 6 white marbles are selected, how many combinations are there? 3. There are 12 members in the boys' volleyball team in a senior high school, and 11 members in the girls' volleyball team. Now 7 members are selected from these 2 teams to form a mixed team for a match against junior high school. If this mixed team must have at least 3 boys and 3 girls, how many ways are there to form the team? 4. Twelve girls and thirteen boys compete for the awards. How many ways are there. to choose 2 students for the two Best Punctual Awards? 5. Twelve girls, thirteen boys, and 6 both girls and boys compete for the awards. How many ways are there to choose a boy, a girl, and both girl and boy for the three Awards in the school? 6. There are 19 fruits and 14 vegetables. To choose 8 different fruits and 6 different vegetables, how many ten- digit passwords can be formed? (Give your answer correct to 3 significant figures.)