Permutation and Combination MCQs

Welcome to our comprehensive collection of Multiple Choice Questions (MCQs) on Permutation and Combination, a fundamental topic in the field of Aptitude. Whether you're preparing for competitive exams, honing your problem-solving skills, or simply looking to enhance your abilities in this field, our Permutation and Combination MCQs are designed to help you grasp the core concepts and excel in solving problems.

In this section, you'll find a wide range of Permutation and Combination mcq questions that explore various aspects of Permutation and Combination problems. Each MCQ is crafted to challenge your understanding of Permutation and Combination principles, enabling you to refine your problem-solving techniques. Whether you're a student aiming to ace Aptitude tests, a job seeker preparing for interviews, or someone simply interested in sharpening their skills, our Permutation and Combination MCQs are your pathway to success in mastering this essential Aptitude topic.

Note: Each of the following question comes with multiple answer choices. Select the most appropriate option and test your understanding of Permutation and Combination. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

So, are you ready to put your Permutation and Combination knowledge to the test? Let's get started with our carefully curated MCQs!

Permutation and Combination MCQs | Page 1 of 2

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Q1.
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

a.

564

b.

645

c.

735

d.

756

Discuss
Answer: (d).756
Q2.
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

a.

360

b.

480

c.

720

d.

5040

Discuss
Answer: (c).720
Q3.
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

a.

810

b.

1440

c.

2880

d.

50400

Discuss
Answer: (d).50400
Q4.
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

a.

210

b.

1050

c.

25200

d.

21400

Discuss
Answer: (c).25200
Q5.
In how many ways can the letters of the word 'LEADER' be arranged?

a.

72

b.

144

c.

360

d.

720

Discuss
Answer: (c).360
Q6.
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

a.

159

b.

194

c.

205

d.

209

Discuss
Answer: (d).209
Q7.
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

a.

5

b.

10

c.

15

d.

20

Discuss
Answer: (d).20
Q8.
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

a.

266

b.

5040

c.

11760

d.

86400

Discuss
Answer: (c).11760
Q9.
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

a.

32

b.

48

c.

64

d.

96

Discuss
Answer: (c).64
Q10.
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

a.

32

b.

48

c.

36

d.

60

Discuss
Answer: (c).36
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