Q3 - SECOND SUMMATIVE TEST IN MA NAME: Directions: Write the letter of the correct answer on the space before each number 1. A is an arrangement of things in a definite order or ordered arrangement of objects. 17. If a. permutation b. probability c. integration d. combination 18. Ho 2, Which the following does NOT illustrate combination? be a. Enumeratiog the subsets of a set re b. Selecting 2 songs from 10 choices for a audition piece a. c. Listing your friends' telephone numbers on your phone 19. If d. Choosing the 3 toppings of your pizza ar 3. How many ways can a baseball team manager arranged ar nine players in a lineup? of 2.362,880 b. 81 c. 23,800 d. 1,818 a. 4. What is P(10, 3) ? 20. A a. 120 b. 320 c. 230 d. 720 5. Which of the following Is equal to 5x4x3x2x1 P 4x3x2x1 b. C. 41 d. 41 21. 6. If P(9, r) = 72, what is r? a. 2 b. 4 c. 5 d. 6 7. Evaluate: 61-41 3. 696 b. 495 c. 294 d. 672 22 8. Which of the following is the formula for permutation of n objects taken r at a time? 23 3. P(n,r) = b. P(n, r ) = (n-T) (n+F) (n-r)! b. P(n,r) = (7-T)I d. P(n,r) = n! (n-r) 9. Compute C(10, 6) a. 200 b. 210 c. 220 d. 250 10. A soloist is auditioning for a musical play. If she is sing any three of the 7 prepared songs,espace lite 17. if P(n,4) = 1680, then n.= . 12 b. 10 c. 9 d. 8 18. How many 3 letter words with or without meaning can ion? be formed out of the letters of the word ELYAS when repetition of letters is allowed? piece a. 125 b. 150 C. 160 d. 135 phone 19. If w = C(5,2), x = C(5, 3), y = C(5,4) and z = C(5,5) and we are given 5 points on a plane of which no three points nged are collinear. Which expression gives the total number of polygons that can be drawn? 818 a. xty b . wtxty C . X ty + z d. waxty+z 20. A box contains 5 red balls, 7 green balls and 6 yellow 20 balls. In how many ways can 6 balls be chosen if there should be 2 balls of each color? a. 3140 b. 3150 c. 3160 d. 3120 21. If C(n, r) = 35, which of the following are possible values of n and r? a. n = 6, r =4 b. n = 7, r = 3 c. n = 8, r = 3 d. n = 9, r = 2 22. C(n, n) = of a. n b. r c. 1 d. can't be determined 23. If C(n,5) = 126, what is n? a. 11 b. 10 c. 9 d. 7 24. If C(12, r) = 792, what is r? a. 8 b. 7 C. 6 d. 4 25. In how many ways can a committee of 5 members be formed from 5 juniors and 7 seniors if the committee must have 3 seniors? a. 150 b. 250 c. 350 d. 4503. P(n,r) = b. P(n,r) = (n-r) (n-7)! b. P(n,r) = (n-T) 72! d. P(n,r) = 71 (n-r) 9. Compute C(10, 6) a. 200 b. 210 c. 220 d. 250 _10. A soloist is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice? a. 21 b. 35 c. 5040 d. 6 11, Evaluate: 10! 2171 b. 10 c. 360 d. 1027 14 12. Consider the word PEPPERS, how many unique arrangement can be made of these letters? a. 218 b. 420 c. 520 d. 230 13. There are 10 flavors of ice cream. You can choose any two flavors in a cone which cost 50 pesos. How many choices of two flavors can you choose. a. 45 b. 35 c. 25 d. 15 _14, Given x = P(n,n) and y = P(n, n-1), what can be concluded about x and y? a. Xcy b. x>y C. X = y d. x = -y 15. In how many ways can you arrange 5 Mathematics books, 4 Science books, and 3 English books on a shelf such that books of the same subjects are kept together? a. 118,224 b. 123,550 c. 126, 920 d. 103,680 16. There are 8 identified points on a plane. How many triangles can be drawn using the given points? 6. 49 b. 52 c. 54 d. 56