Part 1.

1. How to solve an oblique triangle?

2. How to apply the laws of sines and cosines in solving oblique triangles?

Part 2.

1. Suppose you have 3 tops, 3 pairs of pants, and 2 pairs of shoes. How many different outfits do you have? Draw a tree diagram

2. A four-digit number is formed using the digits 2, 4, 5, 6, and 9 such that no digit can be used more than once. a. How many distinct four-digit numbers can be formed?

b. How many four-digit numbers formed are even?

3. A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If there are 60 and 55 grade 11 students, in how many ways can the selection of students for the contest be done?

Note: please provide a solution for further comprehension.