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20 questions
Show answers
  • Q1

    Which mathematical technique determines the number of possible arrangements in a set where the order of the arrangements matters?

    event

    permutation

    sample space

    combination

    30s
  • Q2

    Which of the following situations does not illustrate permutation?

    arranging 10 students in a line

    choosing winners: 1st place, second place and 3rd place from a pool of contestants

    choosing 3 desserts from a menu of 10

    forming a 2-digit number with the digits 1 –9

    30s
  • Q3

    Anastasia needs to arrange 7attendees in a circular table for wedding reception seat plan. How many arrangements can she make?

    720     

    120

    5 040

    6 120

    30s
  • Q4

     How many distinguishable permutations can be made from the letters of the word ‘’FOOTBALL”?

    40 320

    20 160

    10 080

    5040

    30s
  • Q5

    Which of the following situations illustrates combination?

    determining the top three winners of Math Quiz Bee

    assigning cellphone numbers to subscribers

    forming a committee from the members of a club

     arranging plants in a row

    30s
  • Q6

    Choosing a subset of a set is an example of ________.

    Probability

    Combination

    Permutation

    Circular Permutation

    30s
  • Q7

    What is the main difference between a permutation and a combination?

    A combination does not have a specific order, a permutation does.

    A permutation has a specific order, and a combination does not.

    A combination involves repeats and a combination does not.

    A permutation involves repeats and a combination does not.

    30s
  • Q8

    Find the value of P(5,3)+ C(5,2).

    160

    10

    70

    60

    30s
  • Q9

    Anthony is on a 7-day vacation.  He plans to spend one day jet skiing and one day golfing. How many ways can John schedule these 2 activities?

    42

    14

    7

    13

    30s
  • Q10

    Members of 6 different school organizations decorated booths for the club day.  How many different ways can first, second, and third prize be awarded?

    36

    18

    136

    120

    30s
  • Q11

    The diagram shows the number of senior high school boys who play football or wrestling. How many senior high boys play football and wrestling?

    18

    9

    39

    12

    30s
  • Q12

    Which of the following is the formula to find the probability of a union of two events?

    P( A U B) = P(A)+ P(B) – P(A U B)

    P( A U B) = P(A) + P(B) – P(A ∩ B)

    P( A U B) = P(A)- P(B) + P(A U B)

    P( A U B) = P(A) - P(B) + P(A ∩ B)

    30s
  • Q13

    Why is P(A ∩ B) subtracted in the rule of finding the probability of a union of two events, P( A U B) = P(A) + P(B) – P(A ∩ B)?

    There is no explanation other than it’s just a part of the rule.

    Either A or C

    P(A ∩ B) has been counted twice through P(A) and P(B).

    This rule determines the probability of event A or B occurring, not A and B, so this factor is subtracted

    30s
  • Q14

    From a deck of 52 cards, what is the probability of drawing a diamond card or a seven?

    \frac{17}{52}

    \frac{26}{52}

    \frac{36}{52}

    \frac{4}{13}

    30s
  • Q15

    What is P(AUB) if P(A) = 0.25, P(B) =0.50 and P(A∩B) = 0.14?

    0.51

    0.25

    0.39

    0.61

    30s

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