Combinations PDF

PERMUTATION OF OBJECT 1. Find the number of ways a president, a vice president, and a secretary can be chosen from among Aaron, Blessie, Carmi, Darius, Elvie and Von? Activity: LET'S FIND OUT! Create a tree diagram showing how two gentlemen from among Mike,...

PERMUTATION OF OBJECT 1. Find the number of ways a president, a vice president, and a secretary can be chosen from among Aaron, Blessie, Carmi, Darius, Elvie and Von? Activity: LET'S FIND OUT! Create a tree diagram showing how two gentlemen from among Mike, Kevin, Daryl, and Glen will be chosen to represent for a seminar-workshop.  Process Questions: 1. How many possible outcomes are there if ORDER IS IMPORTANT, that is, {Mike, Kevin} is different from {Kevin, Mike}? 2. To arrive at the answer in number 1, what numbers would you multiply? 3. How many ways are there if the ORDER IS NOT IMPORTANT, that is , {Mike, Kevin} is the same as {Kevin, Mike}? 4. How will you find the answer in number 3 without looking at the diagram? COMBINATIONS  LEARNING TARGETS I can illustrate combinations of objects I can differentiate permutation from combination I can cite real-life situations that involves combinations  “ How can we solve combinations of n objects taken r at a time without creating a diagram?” Watch and Learn! Link Identify which situations illustrate permutation and which illustrate combination. Situations REVIEW  Tell whether the following situations pertains to Permutation or Combination. Arranging books on the shelf. Picking team members of the group Creating a song playlist Problem Solving 1. If there are 12 teams in a basketball tournament and each team must play every other team in the eliminations, how many elimination games will there be? 2. From a population of 30 households, in how many ways can a researcher select a sample with a size of 10? QUIZIZZ TIME!  YOU SHARE! 3- interesting things I found out 2- things I learned 1- question I still have  SEAT WORK 1. From a group of 8 students, a teacher needs to select 4 students to present their projects. How many ways can the teacher select the 4 students? 2. A committee of 5 members is to be formed from a selection pool of 7 men and 9 women.How many committees can be formed with at least 3 women?  SEAT WORK 3. A basketball team has 10 players, and the coach needs to select 5 players to form the starting lineup. How many ways can the coach select the lineup? 4. In a science club with 11 boys and 13 girls, 6 students need to be selected to participate in a science fair. How many groups can be formed if there are exactly 4 boys in the group? More practice! A committee of 7 members is to be formed from a selection pool of 15 men and 13 women. How many committees can be formed with at most 4 women?