TOPIC: Counting techniques and Probability

Level: Junior High School

Activity 1

Answer each permutation problem completely.

1. Find the number of different ways that a family of 6 can be seated around a circular table with 6 chairs.

2. In a certain general assembly, three major prizes are at stake. In how many ways can be the first, second, and third prizes can be drawn from a box containing 120 names?

3. In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

4. How many distinguishable permutations are possible with all the letters of the word ELLIPSES?

5. There are 8 basketball teams competing for the top 4 standings in order to move up to the semi-finals. Find the number of possible rankings of the four top teams.

ACTIVITY 2

1. How do you determine if a situation or problem involves permutations?

2. Differentiate between permutations in general (n objects taken r at a time), circular permutations, and distinguishable permutations.

3. Explain why there are(n1) circular permutations ofn distinct items.

ACTIVITY 3

Give 2 examples of problems or situations in real life that involve permutations.

in each example,

1. explain the problem or situation

2. solve the problem

3. discuss how you can use these sample situations in your daily life, especially in formulating conclusions and/or making decisions.