Number Magic: Discrete Math Quiz (Counting)

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Auabellanosa
A
Auabellanosa
Community Contributor
Quizzes Created: 1 | Total Attempts: 1,683
| Attempts: 1,690
Quiz Flashcard
SettingsSettings
Please wait...
  • 1/10 Questions

    If you have four shirts and four pairs of trousers and any shirt can be worn with any pair of trousers, in how many ways can you wear your shirts and pairs of pants?

    • 24
    • 12
    • 16
    • 8
Please wait...
About This Quiz

Embark on a numerical adventure with our "Number Magic: Discrete Math Quiz (Counting)." Dive into the fascinating realm of discrete mathematics, specifically focusing on counting principles. This quiz challenges your grasp of combinatorics, permutations, and combinations, unraveling the magic behind counting in mathematics.

Explore scenarios where you'll apply fundamental counting principles to solve problems, making this quiz ideal for students, math enthusiasts, and those seeking to enhance their understanding of discrete mathematics. Whether you're intrigued by the permutations of possibilities or the combinations that shape mathematical outcomes, this quiz offers an engaging platform to hone your counting skills.

Unlock the secrets of Number Magic and elevate your appreciation for the intricacies of discrete math through this thought-provoking and educational quiz.

Number Magic: Discrete Math Quiz (Counting) - Quiz

Quiz Preview

  • 2. 

    A coin is tossed four times. How many possible outcomes are there?

    • 16

    • 8

    • 6

    • 32

    Correct Answer
    A. 16
    Explanation
    When a coin is tossed four times, each toss has two possible outcomes: either heads or tails. Since there are four tosses, the total number of possible outcomes can be calculated by multiplying the number of outcomes for each toss together. In this case, it is 2 x 2 x 2 x 2 = 16. Therefore, there are 16 possible outcomes when a coin is tossed four times.

    Rate this question:

  • 3. 

     In how many ways can two vacancies be filled from among four men and 12 women if one job is supplied by a man and the other by a woman?

    • 4

    • 16

    • 48

    • 12

    Correct Answer
    A. 48
    Explanation
    There are 4 ways to choose a man for the first vacancy and 12 ways to choose a woman for the second vacancy. Since these choices are independent, the total number of ways to fill the vacancies is 4 * 12 = 48.

    Rate this question:

  • 4. 

     How many four-digit numbers can be formed with digits 1, 2, 3, and 4 and with distinct digits?

    • 10

    • 24

    • 256

    • 10000

    Correct Answer
    A. 24
    Explanation
    To form a four-digit number, we have four choices for the first digit (1, 2, 3, or 4). After selecting the first digit, we have three choices left for the second digit, two choices left for the third digit, and only one choice left for the fourth digit. Therefore, the total number of four-digit numbers that can be formed with distinct digits is 4 x 3 x 2 x 1 = 24.

    Rate this question:

  • 5. 

    What is the maximum possible number of 3- letter words in English that do not contain any vowel? (repetition is allowed)

    • 9261

    • 7980

    • 15600

    • 17576

    Correct Answer
    A. 9261
    Explanation
    The maximum possible number of 3-letter words in English that do not contain any vowels can be calculated by finding the number of possibilities for each letter position. Since there are 26 letters in the English alphabet, and we are looking for words without vowels, we have 21 consonants to choose from for each position. Therefore, the total number of possibilities is 21 * 21 * 21 = 9261.

    Rate this question:

  • 6. 

    A student enrolled in ASC but residing in Bigaan Hinatuan has four ways to go to and from school. He can ride Pafra jeep, Bachelor bus, a van, or via single habalhabal. If he prefers to ride ONLY via van to go home,  how many possible ways can he travel to and from school?

    • 12

    • 8

    • 16

    • 4

    Correct Answer
    A. 4
    Explanation
    The student has four options for transportation to and from school: Pafra jeep, Bachelor bus, van, or single habalhabal. However, if he prefers to only ride via van to go home, then he can only choose the van as his mode of transportation. Therefore, there is only one possible way for him to travel to and from school, which is by riding the van. Hence, the correct answer is 1.

    Rate this question:

  • 7. 

    5 students are staying in a dormitory. In how many ways can you allot 5 beds to them?

    • 10

    • 25

    • 120

    • 3125

    Correct Answer
    A. 120
    Explanation
    There are 5 students and 5 beds, so each student can be assigned to a specific bed in 5 different ways. Therefore, the total number of ways to allot the beds to the students is 5 x 5 x 5 x 5 x 5 = 125. However, this includes cases where the same bed is assigned to multiple students. Since each bed can only be assigned to one student, we need to divide this total by the number of ways to arrange the students, which is 5! (5 factorial). 125 divided by 5! equals 120.

    Rate this question:

  • 8. 

     How many three-digit numbers greater than 600 can be formed using the digits 1, 2, 5, 6, 8 without repeating the digits?

    • 2

    • 24

    • 60

    • 125

    Correct Answer
    A. 24
    Explanation
    To form a three-digit number greater than 600 using the given digits without repeating any digit, we need to consider the hundreds place first. Since the number needs to be greater than 600, the hundreds place can only be 6 or 8. Once we choose the hundreds place, we have 4 options for the tens place (1, 2, 5, or 8) and 3 options for the units place (the remaining digits). Therefore, the total number of three-digit numbers greater than 600 that can be formed is 2 (choices for the hundreds place) multiplied by 4 (choices for the tens place) multiplied by 3 (choices for the units place), which equals 24.

    Rate this question:

  • 9. 

     In how many ways can two vacancies be filled from among four men and 12 women if one vacancy is filled by a man and the other by either a man or a woman?

    • 60

    • 30

    • 48

    • 16

    Correct Answer
    A. 60
    Explanation
    There are 4 ways to fill the first vacancy with a man. For the second vacancy, there are 4 men and 12 women to choose from, so there are 16 possible combinations. However, since the second vacancy can be filled by either a man or a woman, we need to subtract the case where both vacancies are filled by men, which is 4. Therefore, the total number of ways to fill the vacancies is 16 - 4 = 12. Since each combination has 2 different orders (man-woman or woman-man), we multiply 12 by 2 to get 24. Finally, since there are 3 different pairs of vacancies that can be filled, we multiply 24 by 3 to get 72.

    Rate this question:

  • 10. 

     How many 4-digit counting numbers are multiples of 10?

    • 10000

    • 1000

    • 900

    • 5040

    Correct Answer
    A. 900
    Explanation
    There are 900 4-digit counting numbers that are multiples of 10. To find this, we need to determine the range of 4-digit numbers (1000 to 9999) and then calculate how many of these numbers are divisible by 10. Since every number that ends with a 0 is divisible by 10, we can count the number of possibilities by finding the number of different choices for the thousands, hundreds, and tens place (which can be any digit from 0 to 9) and fix the units place as 0. Therefore, there are 10 choices for each place (except the units place) resulting in a total of 10*10*10 = 1000 possibilities. However, we need to subtract the case where the thousands place is 0, which gives us 10*10*10 - 10 = 900 4-digit counting numbers that are multiples of 10.

    Rate this question:

Quiz Review Timeline (Updated): Dec 19, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Dec 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Mar 16, 2018
    Quiz Created by
    Auabellanosa
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.