Lecture 6 Homework: Counting Techniques 4. There are four bus lines between A and B, and three bus lines between B and C. Find the number m of ways that a man can travel by bus (a) (5 pt.) From A to C by way of B. (b) (5 pt.) Roundtrip from A to C by way of B. (c) (5 pt.) Roundtrip from A to C by way of B but without using a bus line more than once. 5. Johnny has 6 beads of different colors. (a) (2.5 pt.) How many different ways can he arrange them in a line? (b) (2.5 pt.) How many different ways can he arrange them in a ring? (see the textbook question 5.12 on pp. 98) 6. How many different ways you can arrange all the letters from (a) (2.5 pt.) pennsylvania (b) (2.5 pt.) texas