I. Identify what is n and r in the problems below. 41. From a class of 20 students, we need to select 3 for a committee. 42. A consumer plans to select 2 kinds of fish from a market with 10 different kinds of fish 43. Finding how many different 12-person juries can be chosen from a pool of 20 juries. 44. Choosing 3 regional tournament members from a chess club of six members. 45. Choosing 7 tourist attractions to be visited from a list of 35.
I. Identify what is n and r in the problems below.
41. From a class of 20 students, we need to select 3 for a committee.
42. A consumer plans to select 2 kinds of fish from a market with 10 different kinds of fish
43. Finding how many different 12-person juries can be chosen from a pool of 20 juries.
44. Choosing 3 regional tournament members from a chess club of six members.
45. Choosing 7 tourist attractions to be visited from a list of 35.
II. Directions: Determine if the given situation is permutation or combination.
46. Determining the top three winners in a Mathematics Quiz Bee
47. Choosing three of your classmates to attend your birthday party
48. Forming a committee of 5 members from 20 people
49. Four students posing for pictures
50. Choosing 3 household chores to do before going to school
III. Directions: Identify what is being asked in each question.
1. Which of the following involve combination?
A. Arranging the call center applicants in circular manner.
B. Giving medals to the first 3 winners in a math quiz bee.
C. Selecting a committee as 4 persons from the 7 participants
D. Assigning password in your facebook account.
2. The ward Combination is best described from which of the following?
A. Arrangement of an object
B. Selection of an object.
C. Tendency of an object to be chosen.
D. All of the above.
3. Which of the following situations involve Combination?
A. Arranging 5 math books and 3 science books on a shelf.
B. Assigning telephone numbers of the subscribers.
C. Getting 4 swimmers from 7 participants.
D. Arranging 10 different colored beads in a bracelet.
4. In which tasks/activities is order not important?
A. Getting 5 green balls from a box containing 10 green balls.
B. Electing officers from your class.
C. Arranging 5 students in a picture taking.
D. Assigning seats in a circular table for 7 guests.
5. Which of the following problems is not a combination?
A. Selecting 5 cards from a deck of cards.
B. Winning a six number combination from a lottery.
C. Choosing 3 from four of the best dancers to join a dance competition
D. Awarding the top three winners in a bicycle race,
IV. Direction: ldentify what is being asked in each situation. Determine whether each situation represents Permutation or Combination.
1.A basketball coach chooses a team of 6 players from 12 players.
A. Combination B. Permutation
2. Ten people are in line to buy movie tickets.
A. Combination B. Permutation
3. A hosting a dinner party assigns seats to guests.
A. Combination B. Permutation
4. Drawing a set of 6 numbers in a lottery containing numbers 1 to 49.
A. Combination B. Permutation
5. Choosing 10 questions to answer out of 15 questions in a test.
A. Combination B. Permutation
V. Directions: Identity what is being asked in each question.
1. In how many ways can 5 winners of consolation prize be chosen from 10 contestants? In the given problem, which of the following represents n in a combination notation?
A. 5 C. 15
B. 10 D. 20
2. There are 4 distinct points on a plane where no 3 points are collinear. How many Plygons can be possibly formed? In the given problem, which of the following is not a representation of r?
C. Trapezoid
A. Circle
B. Square
D. Triangle
VI. Identify what is being asked in each question.
1.How many ways can three boys and three girls be arranged in a circle if the girls must remain next to each other?
A.6
B. 24
C. 36
D. 72
2.How many different arrangements can be formed from the letters of the word, EQUATION if each arrangement begins and ends with a consonant?
A. 720
B. 2,040
C. 3,100
D. 4,320
3.A Math teacher has 3 Algobra books, 5 Geometry books, 4 Trigonometry books, and 3 Statistics books. If Statistics, Trigonometry, Algebra, then Geometry books are arranged in that order, in how many ways can this be done?
A. 54,3055
B. 88,000
C. 103,680
D. 2,488,320
4.A bucket contains 14 marbles in which 4 are red, 3 are blue, 4 are green, and 3 are yellow. How many sets of 4 narbles are there in which none are red, but atleast 2 are green?
A. 115
B. 303
C. 654
D. 815
5. Out of 5 mathematicians and 7 engineers, a committee consisting of 2 mathematicians and 3 engineers is to be formed. In how many waya can this be done if two particular mathematicians cannot be in the committee?
A. 70
B. 105
C. 450
D. 915
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