What do you call the different arrangements of the objects of a group?*

A. Selection

permutation

differentiation

combination

Which situation illustrates permutation?*

forming a committee of councilors

selecting 10 questions to answer out of 15 questions in a test

choosing 2 literature books to buy from a variety of choices

assigning rooms to conference participants

Which of the following situations does NOT illustrate combination?*

Fixing the schedule of a group of students who must take exactly 8 subjects

Selecting 2 songs from 10 choices for an audition piece

Identifying the lines formed by connecting some given points on a plane

Enumerating the subsets of a set

Which of the following expressions represents the number of distinguishable permutations of the letters of the word CONCLUSIONS?*

11!/(2!2!2!)

11!/(2!2!2!2!)

11!/81

11!

A certain restaurant allows you to assemble your own vegetable salad. If there are 8 kinds of vegetables available, how many variations of the salad can you make containing at least 5 vegetables?*

96

56

93

84

Calculate P (12,4).*

11 880

495

40 320

990

How many different 3-digit numbers can be formed from the digits 1, 3, 4, 6 , 7, 9 if repetition of digits is not allowed?*

120

840

720

360

Miss Cruz plotted some points on the board, no three of which are collinear. When she asked her student to draw all the possible lines through the points, he came up with 45 lines. How many points were on the board?*

9

8

10

7

If P (n, 4) =17,160, then n=*

9

11

14

13

if P (9, r )=504, what is r?*

3

7

5

6

If C(n,n) = _____*

cannot be determined

n

1

r

Which of the following can be a value of r in C (15, r)= 1365*

5

4

3

6

If C (n,5) =252, then n=*

7

9

10

8

Find C (18, 4).*

2400

3060

4898

73 440

Evaluate: C (25, 4) + C (30, 3) + C (35, 2)*

17 305

17 900

4655

16 710

In how many different ways can 7 potted plants be arranged in a row?*

210

5040

2520

720

In how many different ways can 10 different - colored horses be positioned in carousel?*

362 880

3 628 800

540

4032

Calculate: C (20, 5)*

116 280

6840

15 504

1860 480

Find the number of distinguishable permutations of the letters of the word EDUCATED.*

20,160

1680

10,080

40,320

How many three-letter permutations are there in the word BEAUTY?*

120

27

63

216

Which of the following is an experiment?*

A.Choosing a card from a deck of cards

Rolling a die

All of the above

Tossing a coin

Which of the following is an outcome?*

Getting a head

Choosing a marble from a bag

Rolling a die

Tossing a coin twice

Which of these events are mutually exclusive?*

drawing a spade or a red card from a standard deck of cards

driving a car or being drunk

driving a car or texting

getting a prime number or a factor of 4 when a die is rolled

The probability of heads landing up when you flip a coin is 1/2. What is the probability of getting tails if you flip it again?*

1/2

1/4

1/3

3/4

Suppose you roll a red die and a green die. The probability that the sum of the numbers on the dice is equal to 9 is 4/36 since there are 4 of the 36 outcomes where the sum is 9. What if you see that the red die shows the number 5, but you still have not seen the green die? What then are the chances that the sum is 9?*

1/6

1/4

2/3

1/3

If a coin is tossed 3 times, what is the probability that all three tosses come up heads given that at least two of the tosses com up heads?*

1/4

3/8

1/6

1/3

A class has the following grade distribution (see the attached file). Suppose that a student passes the course if she or he gets a grade of 80. If a student is randomly picked from this class, what is the probability that the student's grade is 95 if it is known that the student is passing the course?*

5/43

5/28

5/35

5/40

In a standard deck of 52 playing cards includes 13 ranks of each of the four suits: Club, spade, diamond, and heart. What is the probability of drawing a Heart or a black card?*

39/26

2/26

3/4

2/52

In a standard deck of 52 playing cards includes 13 ranks of each of the four suits: Club, spade, diamond, and heart. If drawing two cards without replacement. What is the probability of getting a queen and a king of heart?*

4/2652

4/52

5/2652

3/52

If a coin is tossed 5 times, what is the probability that all five tosses come up tails?*

5/32

1/10

5/10

1/32

A pouch contains 10 candies of the same shape and size. Five of the candies are mints, 4 are toffees and 1 is chocolate. If one candy is picked at random, what is the probability that it is a toffee?*

1/4

2/5

1/5

1/3

A pouch contains 10 candies of the same shape and size. Five of the candies are mints, 4 are toffees and 1 is chocolate. 32. If one candy is picked at random, what is the probability that it is a mint or a chocolate?*

3/5

2/5

1/5

4/5

A card is chosen at random from a standard deck of cards. What is the probability of choosing a queen or a heart?*

15/52

4/13

17/52

13/52

A card is chosen at random from a standard deck of cards. What is the probability of choosing a queen or a king?*

2/13

15/52

13/52

17/52

What is the probability of choosing a consonant from the alphabet?*

5/26

21/26

1/26

22/26

If a bag contains 5 red marbles, 7 blue marbles, and 3 green marbles. Two marbles are randomly drawn from the bag and replaced after the first draw. Find the probability of drawing a red and a green marbles. Attach the screenshot or the image of your complete solution.*