ENTIFY THE FOLLOWING WHETHER EACH SITUATION INVOLVES A PERMUTATION OR COMBINATION.

1.Five badminton players chosen from a group of nine.

A.Permutation

B. Combination.

2.Small town lottery result

A.Permutation B.Combination

3.Finding the diagonals of a polygon A.Permutation

B.Combination

4.Seven toppings for pizza.

A.Permutation

B.Combination

5.A classroom sitting arrangement.*

A.Permutation

B.Combination

PART 2: Read and analyze well each given set of data then answer it carefully.

6.In a town fiesta singing competition with 12 contestants, in how many ways can the organizer arrange the first three singers?

A. 33

B. 6

C. 1320

D. 220

7.Which of the following situations does NOT illustrate combination?*

A. selecting fruits to make a salad

B. assigning telephone numbers to homes

C. choosing household chores to do after classes

D. selecting posters to hang in the walls of your room

8.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?

A. 56

B. 84

C. 93

D. 96

9.It is the selection of objects from a set.

Permutation

Combination

Fundamental Counting Principle

None of the above

10.The number of distinguishable permutations of the letters of the word CONCLUSIONS?

A.453

B.4 536

C.45 360

D.453 600

E.Option 5

11.Which situation illustrates permutation?

A. forming a committee of councilors

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

C. choosing 2 literature books to buy from a variety of choices

D. assigning rooms to conference participants

12.The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are pq ways to do both things.

A.Permutation

B.Combination

C.Fundamental Counting Principle

D.None of the above

13.In a room, there are 10 chairs in a row. In how many ways can 5 students be seated in consecutive chairs?

A. 720

B. 600

C. 252

D. 120

14.Which of the following situations illustrates combination?*

A. Arranging books in a shelf

B. drawing names from a box containing 200 names

C. forming different numbers from 5 given digits

D. forming plate numbers of vehicles

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

A. 5040

B. 2520

C. 720

D. 210

16.How many polygons can be possibly formed from 6 distinct points on a plane, no three of which are collinear?*

A. 720

B. 20

C. 15

D.42

17.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?

A. 840

B. 720

C. 360

D. 120

18.In how many different ways can 10 different-colored horses bepositioned in a carousel?

A. 504

B. 4032 C. 362 880 D. 3 628 800

C. 362 880

D. 3 628 800

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

A. 1680

B. 10080

C. 20160

D. 40320

20.Which of the following situations does NOT illustrate combination.

A. Selecting 2 songs from 10 choices for an audition piece

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

C. Enumerating the subsets of a set

D. Identifying the lines formed by connecting some given points on aplane

NOTE:Please take pictures of your solving and attach it with your answer,thank you