Hello tutor, Im a grade 10 student in the Philippines. I need help to this following MATH subject modules. Thank you

(look to this picture)

MULTIPLE CHOICE : Choose the correct answer. (write only the letter)

terNumbers 18 to 20: If eight people are to occupy eight seats around a circular table, how many 3 different arrangements are possible? 18. Give the value of n? a. 8 b. 7 c. 16 d. 9 19. Give the representation to solve the problem. a. (8 - 1)! b. (7 - 1)! c. (16 - 1)! d. (9- 1)! 20. Solve for the number of different possible arrangements. a. 5, 400 b. 5, 004 c. 5, 040 d. 5, 000 21. Give the representation to solve the distinct permutation of the letters in the word SITSIRITSIT. 11! a. 31413!1! b. 11! 11! 11! 3!412!1! C. d. 4!413!1! 31313!1! 22. Solve for the number of distinct permutations of the letters in the word SITSIRITSIT. a. 46, 200 b. 42, 600 c. 46, 020 d. 24, 600 23. Find the number of distinct permutations of the letters in the word MISSISSIPPI a. 34,506 b. 34,560 c. 34,605 d. 34,650 24. Evaluate 4Po a. 1 b. 2 c. 3 d. 4B. Problem Solving: Using the K-N-W-S chart, solve the given problem involving permutations. Given: In how many ways can 12 different shirts be displayed in a glass case that can accommodate 4 shirts at a time? 25. What facts do I know from the information in the problem? I. There are 12 different shirts II. A glass case can accommodate 4 shirts at a time III. n = 12 and r = 4 IV. Shirt should be displayed in a glass case a. I and II c. I, II, and III b. II and III d. I, II, III and IV26. What information do I NOT need? a. 1 C. III b. II d. IV 27. What does the problem WANT to find? a. The number of glass case to be used. b. The number of ways can 12 different shirts be displayed in a glass that can accommodate 4 shirts at a time. c. The number of shirts displayed in a glass case. d. The shape of the glass case to accommodate 4 shirts at a time. 28. What formula to be used to solve the problem? a. nPr= n! (n-r)! c. P = (n - 1)! b. P= n! d. nPr= n! ( n+r ) ! 29 - 30. Solve the problem. (show your solution)Section: Choose the letter of the correct answer. 1. The number of combinations of n objects taken r at a time is given by C(n, r) = (, nis? a. ner b. ner c . nxr d. n +r 2. The number of ways of selecting from a set when the order is not important a. Permutation b . Combination c. Sample Space d. Statistics 3. What is C(n, n) equal to? a. n! b. r c. 1 d. cannot be determined 4. Which of the following is the correct process of deriving the combination formula from permutation formula? a. nPr = r! (ncr) c. nPr = n! (ncr) (n-r)! = r! (ncr) n! (n-r)! -= n! (ncr) n! (#-) = (ncr) nil T! (n-T) = (ncr) (ncr) = [n-r) (ncr) = (n-r) n! (ncr) = = .1 (n-r)I r (nCr) = = n! 1 (n-r)l n! (ncr) = n! ri(n-r)! (ncr) = 1 (TL-T)! b. ren = r! (ncr) d. ner = r! (ncr) Er! (ncr) n! (r-7)I (n+r)! = n! (ncr) rl (ral = (ncr) (nto)l = (ncr) r! n! (ncr) = WI (ncr) = (atr)| 7! (nCr) = " .1 1 (r-n)! rl (ncr) = (n+r)! n! (ncr) = ( r -n )! (ncr) = 1 (n+r)For numbers 5 to 6: Ways can 5 men committee be formed from 9 people, 5. What is the value of r? A. 5 b. 9 C. 14 d. 45 6. What is the value of n? a. 5 b. 9 c. 14 d. 45 7. The number of ways can 5 men committee be formed from 9 people can be determine by using the formula of ? a. Permutation b. Combination c. Sample Space d. Statistics 8. Calculate 10Ca a. 102 b. 120 c. 210 d. 102 9. Which of the following can be the value of r in C(10,r) = 120? a. b. C. d. 10. If C(n,4) = 126, then n = a. 11 b. 10 c. 9 d. 7