Mathematics 10 Third Quarter Exam

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

• selection

• differentiation

• permutation

• combination

Which situation illustrates permutation?

• forming a committee of counsellors

• 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

It is the selection of objects from a set.

• combination

• differentiation

• permutation

• distinction

Which of the following situations illustrate combination?

• arranging books in a shelf

• drawing names from a box containing 200 names

• forming different numbers from 5 given digits

• forming plate numbers of vehicles

Which of the following situations does NOT illustrate combination?

• selecting fruits to make a salad

• choosing household chores to do after classes

• assigning telephone numbers to homes

• selecting posters to hang in the walls of your room

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

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?

• 56

• 84

• 93

• 96

Calculate P(12, 4).

• 40 320

• 11 880

• 990

• 495

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?

• 840

• 720

• 360

• 120

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?

• 10

• 9

• 8

• 7