3RD QUARTER CHAPTER TEST IN MATH 10

Ten students will be arranged in a row. Which counting technique will be used to find the number of ways it can be done?

• Distinguishable Permutation

• Circular Permutation

• Linear Permutation

• Combination

A shoe-shop owner wants to display his new collection of shoes in a row in the front window. He will display 2 pairs of identical rubber shoes, 2 pairs of identical leather shoes, 1 pair of high heeled shoes. This problem is:

• Not permutation

• Circular permutation

• Permutation of distinct objects

• Permutation of non-distinct objects               

For your morning snack, you may choose from coffee, milk, or juice. You also have two choices for sandwich: ham or tuna. How many possible snacks are there?

• 6

• 8

• 10

• 12

Count how many possible arrangements are there if 3 person are sitting around a circular table?

(Write your answer as a number)

• 1

• 2

• 3

• 4

If P(n,4) = 11,880, which of the following is the value of n?

(Write you answer as a number)

• 14

• 12

• 10

• 8

Which of the following illustrates combination?

•   Arranging the call center applicants in a circular manner.         

• Giving medals to the first 3 winners in a math quiz bee

• Selecting a committee of 4 persons from the 7 participants

• Creating password for your Facebook account.

How does permutation differ from combination?

• Permutation is more difficult than combination.     

• Permutation involves arrangement or order of an object while combination is a collection of items where the order of the selection does not matter.

• Combination involves arrangement of objects while permutation is merely selection.

• Combination and permutation are the same.

Which of the following tasks/activities is order not important?

• Getting 5 green balls from a box containing 10 green balls.    

• Electing officers from your class.

• Arranging 5 students in a picture taking.

• Assigning seats in a circular table for 7 guests.

Which of the following determines the number of possible groups of a collection of items where the order of the elements does not matter?

• FCP

• Combination

• Permutation

• Probability

Find the number of ways in which 5 students, Rhianne, Crystal, Jesselle, and Genesis, Michael can sit around a circular table, such that Michael and Rhianne always sit next to each other?

• 120

• 24

• 12

• 6