Lhs 4.2 Statistics - Permutations And Combinations

30 Questions

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Lhs 4.2 Statistics - Permutations And Combinations

LHS 4. 2 Statistics - Permutations and Combinations


Questions and Answers
  • 1. 
    There are 20 people who work in an office together. Four of these people are selected to go to the same conference together. How many such selections are possible?
    • A. 

      116280

    • B. 

      4845

    • C. 

      80

    • D. 

      Not enough information

  • 2. 
    • A. 

      116280

    • B. 

      4845

    • C. 

      80

    • D. 

      Not enough information

  • 3. 
    Serial numbers for a product are to be made using three letters (using any letter of the alphabet) followed by two single-digit numbers. For example, JGR29 is one such serial number. How many such serial numbers are possible if neither letters nor numbers can be repeated?
    • A. 

      117,000

    • B. 

      15,690

    • C. 

      2,000,000,000

    • D. 

      1,404,000

  • 4. 
    A 7-card hand is chosen from a standard 52-card deck. How many of these will have four spades and three hearts (remember that there are 13 cards of each suit in a deck)?
    • A. 

      29,446,560

    • B. 

      1001

    • C. 

      204,490

    • D. 

      Not enough information

  • 5. 
    In a new group of 15 employees at a restaurant, 10 are to be assigned as servers, 3 are to be assigned as hosts, and 2 are to be assigned as cashiers. In how many ways can the assignment be made?
    • A. 

      60

    • B. 

      30,030

    • C. 

      3014

    • D. 

      50,000

  • 6. 
    In how many ways can a first prize, a second prize and four identical third prizes be awarded to a group of 15 people?
    • A. 

      5005

    • B. 

      3,603,600

    • C. 

      150,150

    • D. 

      None of the answers

  • 7. 
    There are 30 students in a statistics class.  How many ways can the teacher pick out a group of 5 students?
    • A. 

      150

    • B. 

      17,100,720

    • C. 

      142,506

    • D. 

      None of the answers

  • 8. 
    Pizza Hut offers 15 different toppings.  Assuming no topping can be repeated on a single pizza, how many different 3 topping pizzas be created?
    • A. 

      455

    • B. 

      2730

    • C. 

      45

    • D. 

      None of the answers

  • 9. 
    10 people wait in line for a movie.  How many different ways can the line be arranged?
    • A. 

      3,628,800

    • B. 

      1

    • C. 

      100

    • D. 

      1,000

  • 10. 
      Of the 40 dogs at the animal shelter, 12 are purebred. If 1 of the 40 dogs is selected at random, what is the probability that it is purebred?
    • A. 

      .12

    • B. 

      .30

    • C. 

      .40

    • D. 

      .70

  • 11. 
     How many 4-person committees can be formed from a club of 12 members?
    • A. 

      11,880

    • B. 

      495

    • C. 

      48

    • D. 

      3

  • 12. 
    Kareem has 4 sweaters, 6 shirts, and 3 pairs of slacks. How many distinct outfits, each consisting of a sweater, a shirt, and a pair of slacks, can Kareem select?
    • A. 

      13

    • B. 

      36

    • C. 

      72

    • D. 

      216

  • 13. 
    A={1, 2, 3, 4}B={4, 5, 6, 7}
    • A. 

      {4}

    • B. 

      {1, 2, 3, 4, 5, 6, 7}

    • C. 

      {5, 6, 7}

    • D. 

      {1, 2, 3, 4, 5, 6, 7, 8}

  • 14. 
    A={1, 2, 3, 4}B={4, 5, 6, 7}
    • A. 

      {4}

    • B. 

      {1, 2, 3, 4, 5, 6, 7}

    • C. 

      {5, 6, 7}

    • D. 

      {1, 2, 3, 4, 5, 6, 7, 8}

  • 15. 
    A={1, 2, 3, 4, 5}B={4, 5, 6, 7}C={5, 6, 7, 8}
    • A. 

      {1, 2, 3, 4, 5, 6, 7, 8}

    • B. 

      {4, 5}

    • C. 

      {5}

    • D. 

      Empty set

  • 16. 
    A={1, 2, 3, 4, 5}B={4, 5, 6, 7}C={5, 6, 7, 8}
    • A. 

      {1, 2, 3, 4, 5}

    • B. 

      {4, 5, 6, 7, 8}

    • C. 

      {5}

    • D. 

      {1, 2, 3, 4, 5, 6, 7, 8}

  • 17. 
      A certain bank issues 3-letter identification codes to its customers. If each letter can be used only once per code, how many different codes are possible?
    • A. 

      26

    • B. 

      78

    • C. 

      15,600

    • D. 

      326

  • 18. 
     A restaurant’s fixed-price special dinner consists of an appetizer, an entrĂ©e, and dessert. If the restaurant offers 5 different types of appetizers, 5 different types of entrees, and 4 different types of desserts, how many different ways to order a fixed-price special dinner?
    • A. 

      60

    • B. 

      100

    • C. 

      200

    • D. 

      3000

  • 19. 
    • A. 

      60

    • B. 

      40

    • C. 

      20

    • D. 

      10

  • 20. 
    A={1}B={2, 3, 4}C={10, 12}
    • A. 

      {1, 2, 3, 4, 10, 12}

    • B. 

      {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

    • C. 

      Empty set

    • D. 

      {10, 12}

  • 21. 
    A certain bank issues 4-digit identification codes to its customers using numbers 0, 1, 2, ..., 9. How many different codes are possible?
    • A. 

      40

    • B. 

      100

    • C. 

      1000

    • D. 

      10,000

  • 22. 
     John needs to pick up his clothes for the day. He can choose from 6 different shirts, 4 different pairs of pants, and 8 different socks. If an outfit consists of 1 shirt, 1 pair of pants, and 2 socks, how many different outfits could he choose?
    • A. 

      192

    • B. 

      672

    • C. 

      6,720

    • D. 

      10,000

  • 23. 
      At the school cafeteria, 4 boys and 3 girls are forming a lunch line. If the boys must stand in the first two and last two places in line, how many different lines can be formed?
    • A. 

      24

    • B. 

      6

    • C. 

      144

    • D. 

      12

  • 24. 
    There are 10 different cereals at the grocery store.  How many different ways can you choose 3 boxes of cereal (you cannot pick two of the same type)?
    • A. 

      30

    • B. 

      120

    • C. 

      720

    • D. 

      100

  • 25. 
    There are 10 different cereals at the grocery store.  5 of the 10 cereals are made by General Mills.  What is the probability of randomly choosing 3 boxes and having all three be General MIlls brand?
    • A. 

      1/10

    • B. 

      1/120

    • C. 

      1/12

    • D. 

      1500

  • 26. 
    There are 10 different cereals at the grocery store.  5 of the 10 cereals are made by General Mills.  What is the probability of randomly choosing 3 boxes and having none of the three boxes be General Mills?
    • A. 

      1/10

    • B. 

      1/120

    • C. 

      1/12

    • D. 

      1500

  • 27. 
    A phone number has 10 digits (0, 1, 2, ..., 9).  How many phone numbers consist of 10 digits where none of the digits repeat?
    • A. 

      1,000,000,000

    • B. 

      3,628,800

    • C. 

      5,000,000

    • D. 

      1,000

  • 28. 
    A phone number has 10 digits (0, 1, 2, ..., 9).  How different phone numbers are there?
    • A. 

      1x10^10

    • B. 

      1,000

    • C. 

      1x10^100

    • D. 

      3,628,800

  • 29. 
     A jar contains 4 green marbles, 5 red marbles, and 11 white marbles. If one marble is chosen at random, what is the probability that it will be green?
    • A. 

      1/5

    • B. 

      1/4

    • C. 

      20

    • D. 

      1

  • 30. 
     A jar contains 4 green marbles, 5 red marbles, and 11 white marbles. If one marble is chosen at random, what is the probability that it will NOT be green?
    • A. 

      4/5

    • B. 

      1/5

    • C. 

      20

    • D. 

      3/4