Chapter 5: More with Combinations

Lesson Review

Paths on a grid: The solution to the general problem is if you must take X right steps, and Y up steps then the number of routes is simply the ways of choosing where to take the right (or up) steps. i.e.

Combine the counting techniques: complementary counting or casework; overcounting strategies, and so on.

Distinguishability matters (see section 5.4, examples of the balls and boxes).

Homework

Page 83, Ex 5.2.1 (classwork), 5.2.2, 5.2.3,

Page 88, Ex 5.3.1, 5.3.2, 5.3.3, 5.3.5

Page 91, Ex 5.4.1 (classwork), 5.4.2, 5.4.3

Page 93, Ex 5.10

Extra Resources

I am very glad to see that our students are making steady progress, especially in the quality of the homework. Keep up the good work!

Look forward to meeting you all next week. We miss our dear friends Annabelle, Jasmine, and Julia today:)