Math

activity 1

activity 2

evaluation

additional readings

IV. ACTIVITIES Activity 1. Written Work Date: April 19-23, 2021 Directions: Enumerate the given situation whether it involves permutation or combination. Write your answer on the Answer Sheet. HPS = 10 1. In how many ways can 5 people arrange themselves in a row for picture taking? 2. If a combination lock must contain 5 different digits, in how many ways can a code be formed from the digits 0 to 9? 3. In how many ways can a committee of 4 members be chosen from a group of 30 members? 4. How many elimination games there will be in a tournament of 10 teams in a single round robin? 5. In a gathering, everyone shakes hand with everyone else. How handshakes will there be if there are 30 guests? 6. In how many ways can 8 persons be arranged in a round table? 7. How many 4 - digit number can be formed from the digits 1, 3, 5, 6, 8 and 9 if no repetition is allowed? 8. How many ways can 6 people be seated in a round table if two people insist on seating beside each other? For Questions 9-10: Seven twins want to have their pictures taken. In how many ways can they arranged themselves in a row if 9. they must stand anywhere? 10. twins must stand together?livity 2. (Competency 1) Application/Practical-type - Performance Task Date: April 19-23, 2021 Directions: On the Answer Sheet, Give 1 example of a situation in real life that illustrate combinations. 1. Formulate a problem. (6 pts.) 2. Solve the problem. (6 pts.) 3. Explain how this particular problem may help you in formulating conclusions and/or making decisions. (6 pts.) HPS = 18 Score Descriptors Poses a more complex problem with 2 or more correct possible solutions and 6 communicates ideas accurately, shows in-depth comprehension of the pertinent concepts and/or processes, and provides explanations wherever appropriate. Poses a more complex problem and finishes all significant parts of the solution and 5 communicates ideas accurately, shows in-depth comprehension of the pertinent concepts and/or processes. Poses a complex problem and finishes all significant parts of the solution and A communicates ideas accurately , shows in-depth comprehension of the pertinent concepts and/or processes Poses a complex problem and finishes most significant parts of the solution and communicates ideas accurately , shows comprehension of major concepts although neglects or misinterprets less significant ideas or details 2 Poses a problem and finishes some significant parts of the solution and communicates ideas accurately but shows gaps on theoretical comprehension Poses a problem but demonstrates little comprehension, not being able to develop an approachV. EVALUATION Date: April 19-23, 2021 Directions: Read each statement carefully and answer the following problems that involve permutation and combination. Write the letter of your answer on the HPS = 15 Answer Sheet. 1. From a standard deck of 52 cards, how many 5-card hands will have 2 queens and 3 aces? A. 29 304 600 ways C. 29 304 600 ways B. 29 304 600 ways D. 29 304 600 ways 2. There are 5 keys in key ring, how many ways can it be arranged? A. 23 ways B. 24 ways C. 25 ways D. 26 ways 3. How many ways can 6 people are seated in a round table if two people insist on seating beside each other? A. 200 B. 220 C. 240 ways D. 260 For numbers 4 and 5: Seven twins want to have their pictures taken. In how many ways can they arranged themselves in a row if 4. They must stand anywhere? A. 81 178 291 200 ways C. 85 178 291 200 ways B. 83 178 291 200 ways D. 87 178 291 200 ways 5. Twins must stand together? A. 10 080 ways B. 10 085 ways C. 10 090 ways D. 10 100 ways 6. In a box, there are 20 colored balls, eight are red, 8 are white and A. 5 870 ways B. 5 880 ways C. 5 890 ways D. 5 900 ways 7. In a town fiesta singing competition with 12 contestants, in how many ways can the organizer arrange the first three singers? A. 1 120 B. 1 220 C. 1 320 D. 1 420 8. In how many ways can we arranged the word EDUCATED? A. 10 050 B. 10 060 C. -10 070 D. 10 080 9. You were tasked to take charge of the auditions for the female parts of a stage play. In how many possible ways can you form your casts of 5 female members if there 15 hopefuls? A. 3 003 B. 3 004 C. 3 005 D. 3 006 10. If ice cream is served in a cone, in how ways can Abby choose her three-flavor ice cream scoop, if there are 6 available flavors? A. 10 B. 20 C. 30 D. 40 11. Mr. Santos is going to buy two books on Math and two books on English. If there are six different books on Math and five different books on English, in how many possible ways can he buy? A. 50 B. 100 C. 150 D. 200 612. Forty guests consisting of 24 men and 1 i women are to be seated in eight rows each row having five chairs. Three nen and two women are to occupy each row. How many possible ways are there of grouping the guests? A. 1.18x72 B. 1. 18x82 C. 1.18x92 D. 1. 18x102 13. How many 3-letter codes consisting of one vowel and two consonants can be formed form the word WISDOM? A. 72 ways B. 74 ways C. 76 ways D. 78 ways 14. In how many ways can a team of two doctors, two dentists, and four nurses be formed from a group of four doctors, four dentists and ten nurses? A. 7550 ways B. 7560 ways C. 7570 ways D. 7580 ways 15. The SSG of Karunungan HS consists of 50 students, 20 boys and 30 girls. The school is sending five delegates to a nationwide conference and these delegates must come from the members of the SSG. In how many ways may the selection be made if the delegates are to be two boys and three girls? A. 170 ways B. 180 ways C. 190 ways D. 200 ways VI. ADDITIONAL READINGS/ACTIVITY HPS = 7 Combination Not all counting problems are exclusively on permutation or exclusively on combination. In most cases the two are involved together. The Fundamental Counting Principle is also oftentimes used in problems on permutation and combination. Let us study the given case: 1. The board of judges has to select five finalists from the 24 contestants in a beauty contest. Then the board will decide who will be the fourth, third, second and first runners up and Miss Beauty. How many possible outcomes will there be? How many combinations of the five finalists will there be? [ C( 24 , 5) = 42,504 ] Every combination of five finalists has how many permutations? [ P( 5 , 5 ) = 120 ] Another way of solving the problem is purely on permutations: Miss Beauty 1st Runner - Up 2nd Runner - Up 3rd Runner - Up 4th Runner - Up 24 23 22 21 20 P (24, 5) = 5 100 480 7Directions: Read the problem below and answer the following problems completely. Write your answers in the answer sheet provided for. A manufacturing firm received an order to make license plates using first two letters from the English alphabet and followed by three digits. Repetition of letters and digits are allowed but the first digit cannot be zero. How many distinct licenses plates can the firm make? LICENSE PLATE First letter Second letter Hundred's digit Ten's digit One 's Digit 1. 2. 3. 5. Questions: 1. How many license plates are made? 2. What technique you use in getting the number of license plates