Deck 32: Combinations and Permutations

Question 1

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?

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

Answer 1

1820

Question 2

Calculate

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

Answer 2

30

Question 3

What is the correct value of 5! ?

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

Answer 3

120

Question 4

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

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

Question 5

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?

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

Question 6

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?

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

Question 7

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)?

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

Question 8

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

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 9

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

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

Question 10

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

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