Permutations and Combinations Quiz Set 018 | Maths Aptitude Quiz Questions and Mock Test on Permutations and Combinations Set 18 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

From a group of 9 boys and 6 girls, in how many ways can 2 boys and 2 girls be selected?

540.

550.

530.

560.

Soln.
Ans: a

The required count is ⁶C₂ × ⁹C₂ = 540.

Solution | Discuss! | Chapters»

Question 2

There are 5 trains between two stations A and B. In how many ways can a student go from A to B and return by a different train?

20.

25.

18.

21.

Soln.
Ans: a

The upward journey is possible in 5 ways, and the downward in 4 ways. So the outcomes are 5 × 4 = 20.

Solution | Discuss! | Chapters»

Question 3

There are 7 trains between two stations A and B. In how many ways can a student go from A to B and return by any of the available trains?

49.

54.

47.

50.

Soln.
Ans: a

The upward journey is possible in 7 ways, and the downward also in 7 ways. So the outcomes are 7 × 7 = 49.

Solution | Discuss! | Chapters»

Question 4

Section A of an exam has 3 questions, B has 6 questions and C has 4 questions. In how many ways can a student attempt the paper if he has to select one question from each of these sections?

72.

77.

70.

73.

Soln.
Ans: a

Clearly, it is 3 × 6 × 4 = 72.

Solution | Discuss! | Chapters»

Question 5

Out of given 4 consonants and 3 vowels, how many words can be formed that contain 3 consonants and 2 vowels or 3 vowels and 2 consonants?

2160.

2170.

2150.

2180.

Soln.
Ans: a

We can make the selection in ³C₃ × ⁴C₂ + ³C₂ × ⁴C₃ ways. But the five members can themselves be arranged in 5! ways. So the number of words is 120 × (³C₃ × ⁴C₂ + ³C₂ × ⁴C₃) = 2160.