Mathematics 10 Third Periodical Test
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It refers to the number of ways of selecting from a set when the order is important.

  • FCP
  • permutation (correct)
  • probability
  • combination

    • It is the different possible arrangements of objects in a circle.

  • factoring
  • circular permutation (correct)
  • FCP
  • n-factorial

    • Which of the following situations describes PERMUTATION?

  • Selecting 2 songs from 10 choices for an audience piece.
  • Enumerating the subsets of a set.
  • Fixing the schedule of a group of students who must take exactly 8 subjects (correct)
  • Identifying the lines formed by connecting some given points on a plane

    • How many different 4-digit even numbers can be formed from the digits 1, 3, 5, 6, 8, and 9 if no repetition of digits is allowed?

    <p>840 (A)</p> Signup and view all the answers

    Find the number of distinguishable permutations of the letters of the word PASS.

    <p>144 (D)</p> Signup and view all the answers

    In how many ways can 5 people line up for a group picture if two wants to stand next to each other?

    <p>40 (A)</p> Signup and view all the answers

    It refers to the number of ways of selecting from a set when order does not matter.

    <p>combination (A)</p> Signup and view all the answers

    Which of the following situations does NOT illustrate combination?

    <p>Opening a combination lock. (C)</p> Signup and view all the answers

    If C(5, 4) = n, what is n?

    <p>6 (C)</p> Signup and view all the answers

    Which of the following shows order is NOT important?

    <p>Selecting top 3 students (B)</p> Signup and view all the answers

    Which of the following describes permutation?

    <p>Order, placement and position are relevant. (A)</p> Signup and view all the answers

    Flashcards

    Permutation

    The number of ways to arrange a set when order matters.

    Combination

    The number of ways to select from a set when order does not matter.

    Circular Permutation

    Different possible arrangements of objects in a circle.

    Distinguishable Permutations

    Arrangements of objects where some are identical over different orders.

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    Probability

    The likelihood of an event occurring, ranging from 0 to 1.

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    Mutually Exclusive Events

    Events that cannot occur simultaneously.

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    FCP (Fundamental Counting Principle)

    A method to compute the number of outcomes in a sequence of events.

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    Odd Number Probability

    The chance of rolling an odd number on a die, typically 1/2.

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    Choosing Representatives

    Selecting a group from a larger set without regard to order.

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    Arrangements

    The order of items in a sequence, important in permutation.

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    Selecting Songs

    An example of permutation due to the importance of order.

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    Group Picture Line-up

    Arranging individuals where two specific individuals must stand together.

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    Four-Digit Even Numbers

    Different ways to create even numbers from given digits without repetition.

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    Arranging in a Race

    Calculating the ways runners can finish in specific positions.

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    Drawing a Card

    Finding probabilities of certain outcomes when drawing cards.

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    Probability of Colors

    Calculating the chances of drawing colored balls from a box.

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    Total Possible Outcomes

    All possible combinations of outcomes in a given situation.

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    Probability of Vowel

    Chance of selecting a vowel from the alphabet, e.g., A, E, I, O, U.

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    Total Committee Selection

    Counting ways to select members from a group, respecting constraints.

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    Rolling Two Dice

    Understanding the probability of sums from rolling two dice.

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    Seating Arrangements

    Different ways to arrange people around a circular table.

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    Drawing Hearts or Jack

    Probability of drawing specific card types like hearts or jacks.

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    Probability of Blue or Red

    Calculate chances of choosing specific colored shirts.

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    Dice Roll Sums

    Understanding possible outcomes when rolling dice for specific sums.

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    Probability with Exclusions

    Constraints affect the probability when certain options are not available.

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    Arrangements in Permutation

    Refers to different ways of organizing a set where order matters.

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    Probability of Events

    Calculating the likelihood of any event happening based on possible outcomes.

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    Grouping by Color

    Probability calculation based on color selections from a group.

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    Selecting Top Students

    Choosing a few top performers based on grades without regard to specific order.

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    Study Notes

    Southville 8C National High School - Third Periodical Test - Mathematics 10

    • Question 1: Permutation is the number of ways of selecting items where order matters.

    • Question 2: Circular permutation describes the different arrangements of objects in a circle.

    • Question 3: Permutation examples include: selecting songs, scheduling classes, and identifying lines. Factorial and fundamental counting principle are related to permutations.

    • Question 4: Finding numbers using digits 1, 3, 5, 6, 8, and 9 (no repetition, even numbers) - 840 possible 4-digit even numbers.

    • Question 5: Identifying distinguishable permutations for the word PASS (144 possible permutations).

    • Question 6: Number of ways 5 people line up for a picture - with two people standing next to each other - 48 arrangements.

    • Question 7: Combination is the number of ways of selecting items where order does not matter.

    • Question 8: Combination scenarios include choosing colors, electing representatives, and listing elements, not choosing arrangements like opening a combination lock.

    • Question 9: Calculating n in C(5,4) = n (answer :5). Choose 4 items from 5 items.

    • Question 10: Importance of order in scenarios like contest winners, cellphone passcodes, selecting combo meals and listing elements of a set. Order is not critical.

    • Question 11: Permutation describes sequential ordering and item placement.

    • Question 12: Choosing items and arranging the arrangement.

    • Question 13: Combination examples involve topping a pizza, selecting students and assembling puzzles.

    • Question 14: Arrangement of runners in a race (first, second, third place). - 720 possible arrangements.

    • Question 15: Number of distinguishable permutations of "EDUCATED" - 1,680.

    • Question 16: Number of ways 5 people shake hands- 10.

    • Question 17: Ways 8 people can be seated around a circular table -with 2 people next to each other - 5040.

    • Question 18-40: Probability questions related to committees, dice rolling, cards drawing, sets of objects etc.

      • Key concepts include determining outcomes and favorable outcomes, calculating probabilities for various events.

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    Related Documents

    Grade 10 3rd Periodical Test in Mathematics 2024-2025 PDF

    Description

    Test your knowledge in Mathematics 10 with this third periodical assessment focusing on permutations and combinations. The quiz covers various scenarios and principles related to arrangements and selections, from basic definitions to practical examples.

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