Question 1

Calculate the number of permutations of 3 items from a set of 6 items.

Accepted Answer

A)  80 
B)  100 
C)  120 
D)  140 
A)  80 
B)  100 
C)  120 
D)  140 C

Question 2

Which of the following options is the BEST definition of a combination?

Accepted Answer

A)  A selection of distinct elements from a set 
B)  The number of elements in a set 
C)  A selection of distinct elements from a set, arranged in a particular way 
D)  All the elements from a set 
A)  A selection of distinct elements from a set 
B)  The number of elements in a set 
C)  A selection of distinct elements from a set, arranged in a particular way 
D)  All the elements from a set A

Question 3

A construction company based on Muscat must send a project team (4 people) to work on a new job site. If the company has 16 available staff, how many possible project teams are there?

Accepted Answer

A)  1820 
B)  1868 
C)  1892 
D)  1902 
A)  1820 
B)  1868 
C)  1892 
D)  1902 A

Question 4

Which of the following options is the BEST definition of a permutation?

Accepted Answer

A)  A selection of distinct elements from a set 
B)  The number of elements in a set 
C)  A selection of distinct elements from a set, arranged in a particular way 
D)  All the elements from a set 
A)  A selection of distinct elements from a set 
B)  The number of elements in a set 
C)  A selection of distinct elements from a set, arranged in a particular way 
D)  All the elements from a set

Question 5

What is the correct value of 5! ?

Accepted Answer

A)  110 
B)  120 
C)  130 
D)  14 
A)  110 
B)  120 
C)  130 
D)  14

Question 6

How many combinations of 2 vans can be made from a fleet of 10?

Accepted Answer

A)  42 
B)  45 
C)  48 
D)  51 
A)  42 
B)  45 
C)  48 
D)  51

Question 7

A delivery company must send two of its 10 vans to pick up an order from a customer in Abu Dhabi. Should the transport manager be concerned about combinations or permutations of vans that could be used?

Accepted Answer

A)  Combinations 
B)  Permutations 
C)  Both are important 
D)  Neither is important 
A)  Combinations 
B)  Permutations 
C)  Both are important 
D)  Neither is important

Question 8

An accounting firm in Iran has won two new contracts. Each contract needs one accountant to work on it, but the same accountant cannot undertake both. Should the manager be concerned about combinations or permutations of staff that might undertake this work?

Accepted Answer

A)  Combinations 
B)  Permutations 
C)  Both are important 
D)  Neither is important 
A)  Combinations 
B)  Permutations 
C)  Both are important 
D)  Neither is important

Question 9

A bakery conducts checks each day to make sure that its scales are weighing accurately. It checks once per day and there is a chance that the scales need adjusting of 0.15 each day. If it checks 30 times in a month, what are the chances of the scales needing adjusting on precisely 5 occasions (3 decimal places)?

Accepted Answer

A)  0.156 
B)  0.166 
C)  0.176 
D)  0.186 
A)  0.156 
B)  0.166 
C)  0.176 
D)  0.186

Question 10

Calculate

Accepted Answer

A)  18 
B)  22 
C)  26 
D)  30 
A)  18 
B)  22 
C)  26 
D)  30

Exam 32: Combinations and Permutations

Calculate the number of permutations of 3 items from a set of 6 items.

Which of the following options is the BEST definition of a combination?

A construction company based on Muscat must send a project team (4 people) to work on a new job site. If the company has 16 available staff, how many possible project teams are there?

Which of the following options is the BEST definition of a permutation?

What is the correct value of 5! ?

How many combinations of 2 vans can be made from a fleet of 10?

A delivery company must send two of its 10 vans to pick up an order from a customer in Abu Dhabi. Should the transport manager be concerned about combinations or permutations of vans that could be used?

An accounting firm in Iran has won two new contracts. Each contract needs one accountant to work on it, but the same accountant cannot undertake both. Should the manager be concerned about combinations or permutations of staff that might undertake this work?

Calculate

Introduction to Business Mathematics and Statistics

Sampling and Data Collection

Data and Their Accuracy

Frequency Distributions and Charts

General Charts and Graphs

Arithmetic Mean

Median

Mode and Other Measures of Location

Measures of Dispersion and Skewness

Standard Deviation

Quantiles and the Quartile Deviation

Linear Functions and Graphs

Regression Techniques

Correlation Techniques

Time Series Model

Time Series Trend

Seasonal Variation and Forecasting

Index Relatives

Composite Index Numbers

Special Published Indices

Interest and Depreciation

Present Value and Investment Appraisal

Annuities

Functions and Graphs

Linear Equations

Quadratic and Cubic Equations

Differentiation and Integration

Cost, Revenue and Profit Functions

Set Theory and Enumeration

Introduction to Probability

Conditional Probability and Expectation

Binomial and Poisson Distributions

Normal Distribution

Linear Inequalities

Matrices

Inventory Control

Network Planning and Analysis

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