Grade 10 Quarter 3 || Permutations and Combinations || Problem Solving

This math tutorial video is about Grade 10 Quarter 3 II Permutations and Combinations II Problem Solving
After going through this video, you should be able to:
differentiate situations that involve permutations and combinations; and
solve problems that involve permutations and combinations.
A permutation is an arrangement of objects where the order is important.
Combination is a number of possible arrangements in a collection of items where the order of the selection does not matter.
Solve the following problems. Show organized solutions.
1. A committee of three is to be chosen from a faculty of 12 Math teachers. How many ways of choosing the committee are there?
2. Ace, Beth, Cate, Dave, Eli, Frank, and Greg decided to go to work walking in a different order. How many days can they go without repeating an order?
3. Seven friends Helen, Ingrid, James, Ken, Len, Mark, and Nate, leave a restaurant. Each person says good-bye to each of the others with a fist bump. How many fist bumps are needed?
4. Patrice has 12 modules to answer this week. In how many different ways can she pick a first, second, and third module to answer on Monday?
5. Six points are in a plane such that no three are collinear. How many lines can be formed through these points?