(with solutions please)

Activity 2 8. What is P(9,4)? A) 560 B) 3024 C) 15 120 DJ 45 360 9. How many different permutations are there of n objects taken r at a time? A) n! B) (n = r)! C) (n - 1)! 10. How many ways can 6 different mathematics book be arranged in a row? A) 60 B) 240 C) 720 D) 1440 11, Which of the following tasks involves combinations? A. completing a jigsaw puzzle C. picking up numbers for a lottery B. arranging frames in a wall D. positioning pieces on chessboard 12. Evaluate 9P3. A. 504 B. 378 C. 168 D. 84 13. Which of the following is equal to 803? A. 81/3! B. 8!/5! C. 81/315! D. 8(7)(6) 14. Which of the following situations involves permutations? A. A 3-member committee is to be formed from 8 councilors. B. A student is listing elements of a set in his Math assignment. C. A group of friends is choosing 6 out of 10 main dishes for an occasion. D. A board of executives is arranging shows in 3 TV primetime slots. 15. Evaluate 9C2. A. 72 B. 48 C. 36 D. 24 _16. In how many ways can a barangay captain choose 3 out of 7 councilors to attend a seminar? A. 35 B. 70 C. 105 D. 210 17. How many distinct handshakes are possible if each person of the 14 persons inside a room shakes hand with everyone else once? A. 91 B. 182 C. 273 D. 364 18. Yesha has 14 modules to answer this week. In how many different ways can she pick a first, second, third, and fourth module to answer on Monday? A. 24024 B. 6006 C. 2184 D. 1001 19. How many lines can be drawn from 10 given points, no 3 of which are collinear? A. 30 B. 45 C. 90 D. 135 20. Eight students entered a regional quiz bee. In how many ways can the first, second, and third placers be chosen? A. 24 B. 56 C. 336 D. 512Activity 1 Let us determine how much you have learned from this module. DIRECTION: Read and understand each item, then choose the letter of your answer and write it on your answer sheet. 1. Find the number of permutations of 14 objects taken 3 at a time. A. 2002 B. 2184 C. 364 D. 728 2. Jennie has homework in Math, Art, English, Science, and TLE but she cannot decide in which order to attack these subjects. How many different orders are possible? A. 5! B. 4! C. 25 D. 10 3. In how many ways can Willie Revillame award Php 50,000 each to 3 people chosen from the n viewers in his show? A. n!/3!(n-3)! B. n!/3! C. n!/ (n-3)! D. n!/3 4. Evaluate 7P4. A. 210 B. 840 C. 35 D. 28 5. Evaluate 7C4. A. 28 B. 35 C. 210 D. 840 6. Which of the following situations involves combinations? A. A refrigerator, a TV, and a stand fan are to be awarded in a raffle draw. B. Parents elect president, vice-president, secretary, treasurer, and auditor for PTA. C. A librarian arranges books in a shelf. D. An SK chairman appoints 3 SK kagawads to buy school supplies. 7. During the pandemic, people are practicing physical distancing. A group of friends meet up at a restaurant. They greeted each other with a fist bump. If 21 fist bumps took place, how many friends were present? A. 5 B. 6 C. 7 D. 8 8. Which of the following tasks involves permutations? A. Awarding 3 equal scholarships. C. Choosing 4 beaches to visit B. Picking up 6 numbers for a lottery D. Arranging 7 books in a shelf 9. Evaluate and simplify: sCs + sC4 + 5C3 + sC2+ sCi A. 31 B. 32 C. 22 D. 51 10. A gymnasium has 9 doors. In how many ways can you enter and leave the gymnasium using different doors? A. 90 B. 81 C. 72 D. 36 11. Determine the number of triangles that can be formed through 10 points no three of which are collinear. A. 45 B. 90 C. 360 D. 120 12. A 4-member committee is to be formed from the officers of a club. In how many ways can the committee be formed if the club has 11 officers? A. 990 B. 330 C. 1980 D. 7920 13. Six horses are needed to pull a float in a parade. If there are 10 horses in the stable, how many different teams of 6 can be selected? A. 5040 B. 1260 C. 60 D. 210 14. In how many ways can the organizers of Bayambang Singkapital Poem Writing Contest award Php 10,000, Php 7,000, Php 5,000 to 10 finalists? A. 720 B. 360 C. 120 D. 30 15. As part of a simple celebration, a family of six went to a studio. They want to have pictures with different orders. How many shots with different orders can they choose from? A. 720 B. 120 C. 60 D. 36