Permutations and Combinations Quiz Set 019 | Maths Aptitude Quiz Questions and Mock Test on Permutations and Combinations Set 19 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

In how many ways can 3 different types of ice-creams be distributed among 2 boys?

11.

Soln.
Ans: a

The first can get any of the 3 ice-creams, the second can then get (3 - 1), and so on. This is expressed as ³P₂, which evaluates to 6.

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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 any of the available trains?

25.

30.

23.

26.

Soln.
Ans: a

The upward journey is possible in 5 ways, and the downward also in 5 ways. So the outcomes are 5 × 5 = 25.

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Question 3

How many words can be formed with 8 distinct consonants and 2 distinct vowels such that vowels stay together at the end of each word?

80640.

80650.

80630.

80660.

Soln.
Ans: a

We have to basically create two parts - one containing 8 consonants and the other containing 2 vowels. The consonants can be arranged in 8 ! ways, and vowels in 2 ! ways. The total count will be 8 ! × 2 ! = 80640.

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Question 4

How many words can be formed with 8 distinct consonants and 4 distinct vowels such that vowels stay together at the end of each word?

967680.

967690.

967670.

967700.

Soln.
Ans: a

We have to basically create two parts - one containing 8 consonants and the other containing 4 vowels. The consonants can be arranged in 8 ! ways, and vowels in 4 ! ways. The total count will be 8 ! × 4 ! = 967680.

Solution | Discuss! | Chapters»