Directions: Given the following problems, write each problem in combination notation.

1. A magic show has 10 people in the audience. For the next act, the magician needs 2 people from the audience. In how many ways can he invite the 2 people from the audience?

2. If a student is to answer any six problems on a test consisting of nine problems, in how many different ways can the student select the six problems?

3. A bag contains 4 white balls, 6 yellow balls, and 5 red balls. In how many ways can 6 balls be chosen if there must be 2 balls of each color?

4. If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in how many ways can it happen that at least 3 of the marbles picked are blue?

5. There are 7 men and 9 women members of a club. How many committees of 4 can be formed having at most 3 men?​