What does the notation 4C2 implies?

B. combination of four objects taken two at a time

A. combination of two objects taken four at a time

C. permutation of two objects taken four at a time

D. permutation of four objects taken two at a time

Which is the correct meaning of combination?

D. It is a counting technique that considers all possible outcomes where order of elements is not important.

A. It is a counting technique where order of members or elements matters.

B. It is a counting technique where order of members or elements is counted individually.

C. It is a counting technique that considers all possible outcomes where order of elements is necessary.

Which situations involves permutation?

B. selecting three posters to hang out of six different posters

C. choosing five questions to answer out of 10 questions in a test

D. forming a six-member committee from 10 eligible board members

You are hired in a restaurant as a supervisor. Part of your job is to plan the menu to be served every day. You are tasked by the owner to come up with a recommendation of a list of different choices of food to be served. Your recommendation must include an explanation why some dishes are less or more frequently served. What mathematical concepts are used in this situation?

C. fundamental counting principle and permutation

B. combination and fundamental counting principle

D. combination, permutation, and fundamental counting principle

What is the arrangement of three books in English, mathematics, and science by 2’s on a shelf?

D. (EMS, ESM, SEM, SME, MES, MSE)

In which situation are the events mutually exclusive?

A. drawing a marble from a bag that is either red or blue

B. picking a card from a deck that is either a heart or a face card

C. selecting a student from a class who is either a senior or plays basketball

D. rolling a fair six-sided die and getting a number less than three or an even number

Which scenario best illustrates mutually exclusive events?

D. choosing a number between 1 and 10 and getting either an even or an odd number

A. flipping a fair coin twice and getting heads both times

B. selecting a red card or a king from a standard deck of playing cards

C. rolling a fair six-sided die and getting an odd number or a prime number

Barangay Sampaloc Zone 1 is organizing Heart’s Week, an event for a cause. The proceeds will be donated to Heart Smile, a foundation that funds the medication of children with heart conditions. The barangay chairman is taking the lead in organizing various committees. The first committee is the planning committee. From a group of seven men and six women, five persons are to be selected to form the committee so that at least three men are there on the committee. How can the barangay chairman determine the possible number of committees where each member is equal in position?

C. He can use combination to find the number of outcomes because every member is equal in rank and ordering their position does not matter.

A. He can just randomly select from the qualified persons to lead the committee and count all the possibilities.

B. He can use permutation to find the number of outcomes since every position in the committee is important.

D. He can just multiply the number of men by the number of women to determine the number of possible outcomes since the position of every member is not important.

Kudarat is the organizer of a basketball tournament in your barangay. He is to submit to the tournament head committee the budget for the referees’ fees. There are 12 teams who registered. He needs to decide what format of the game to follow so that the budget will be minimal. Which format will he recommend having minimal budget for referees’ fees based on the number of games played? I. Follow the single round robin system and the team with the greatest number of wins becomes the champion. II. Separate the 12 teams into two groups. Each group of six teams will play a single round robin. The greatest number of wins per group will play for the championship in a best of three.

C. Same formats yield same number of games.

D. The number of games cannot be determined.

In a small assembly plant with 50 employees, each worker is expected to complete work assignments on time and in such a way that the assembled product will pass a final inspection. On occasion, some of the workers fail to meet the performance standards by completing work late or assembling a defective product. At the end of a performance evaluation period, the production manager found out that five of the 50 workers completed work late, six of the 50 workers assembled a defective product, and two of the 50 workers both completed work late and assembled a defective product. After reviewing the performance data, the production manager decided to assign a poor performance rating to any employee whose work was either late or defective. What is the probability that the production manager assigns an employee a poor performance rating? The problem involves what probability?

D. not mutually exclusive events

Tom and Jerry were assigned a challenging problem by their teacher. They were asked to solve this problem: In a primary election, there are four candidates for mayor, five candidates for city treasurer, and two candidates for county attorney. In how many ways may voters mark their ballots if they exercise their right not to vote in any or all of the races? Tom’s approach : The total number of ways a voter can mark their ballot for all three offices would be 5 × 6 × 3 = 90. Jerry’s Approach : Applying the multiplication principle, he calculated 4 × 5 × 2 = 40 ways in which a voter can mark their ballot for all three offices. Which choice best reflect their understanding?

A. Tom's understanding is correct.

B. Jerry's understanding is correct.

C. Neither Tom nor Jerry is correct.

D. Both Tom and Jerry are partially correct.

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10th Grade

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Practice Problem

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Hard

Angelito Mellamina

Used 27+ times

FREE Resource

35 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The favorite sports of male students of Lahug Night High School are shown to the right. How many male students like both basketball and volleyball?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The beverage that the people prefer to drink in the morning are shown in the Venn diagram to the right. Which of the following Venn diagram visually represents the people that do not drink coffee or tea?

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which diagram illustrates mutually exclusive events?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the set that contains all of the elements that are in at least one of the two events?

A. union of events

B. compound events

C. intersection of events

D. mutually exclusive events

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which events have no outcome in common?

A. union of events

B. compound events

C. intersection of events

D. mutually exclusive events

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the difference between permutation and combination?

A. Both permutation and combination-order are important.

B. Both permutation and combination-order are not important.

C. Permutation-order is important; combination-order is not important.

D. Combination-order is important; permutation-order is not important.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Ten students will be arranged in a row. Which counting technique will be used to find the number of ways it can be done?

A. combination

B. permutation

C. circular permutation

D. fundamental principle of counting

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Review 3rd Quarter Exam

35 questions

The favorite sports of male students of Lahug Night High School are shown to the right. How many male students like both basketball and volleyball?

The beverage that the people prefer to drink in the morning are shown in the Venn diagram to the right. Which of the following Venn diagram visually represents the people that do not drink coffee or tea?

Which diagram illustrates mutually exclusive events?

What is the set that contains all of the elements that are in at least one of the two events?

Which events have no outcome in common?

What is the difference between permutation and combination?

Ten students will be arranged in a row. Which counting technique will be used to find the number of ways it can be done?

Albert has three shirts and five caps. He wants to know in how many ways he can wear them to create different outfits. Which counting technique will help him?

What is the term used to refer to the outcomes of an experiment?

What refers to the product of the positive integer n and all the positive integers less than n?

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