Q. 1 In a class of 30 student, the Professor gives numbered cards to student (labeled l,2,- -- ,30) for drawing. The cards given to girls are red, and the ones given to boys are green. Suppose there are equal number of boys and girls in the class. In the following, the size of a subset refers to the number of items in the subset. 1. If the Professor chooses 7 cards out of 30, what is the number of possible subsets. 2. The Professor will determine the students' seats around a circle table randomly according to their number. What is the number of ways of 6 students are seated around a circle table. 3. The number of ways of choosing two nonempty subsets, with one subset containing only red cards, and the other containing only green cards. 4. The number of ways of choosing two subsets, with one subset containing the card numbered 6, and the other subset containing the card numbered 14. 5. Number of ways of seating the students in a row of 30 chairs, with adjacent students having different gender