Top 160 Permutation and Combination questions [ 100% FREE ]

Welcome, dear readers! If you’ve ever scratched your head over Permutation and Combination questions, you’re not alone. They form a fundamental pillar in the world of mathematics and logic. But what exactly are these Permutation and Combination questions? A permutation is how you can arrange certain things in a definite order, whereas a combination deals with selecting items without fussing over the order. Now, why are these questions so essential? The answer lies in the vast applications of permutation and combination in our daily life.

Permutation and Combination questions are omnipresent, especially in the competitive realm. For those preparing for competitive exams, having a grip on Permutation and Combination questions is a must. Are you aiming to crack exams like the CAT? Well, understanding permutation and combination for CAT can indeed give you an edge. Not only that, but these concepts also find their relevance in aptitude tests, where permutation and combination aptitude questions test one’s problem-solving ability.

We’ve noticed a growing trend of people searching for permutation and combination in Hindi. This highlights the widespread appeal and importance of these mathematical concepts. Moreover, if you are looking to build a strong foundation or just seeking to practice, our permutation and combination pdf will surely be of great help. Within it, you’ll find Permutation and Combination problems, and don’t worry – we’ve also got you covered with permutation and combination solutions.

The world of permutation and combination doesn’t restrict itself to the CAT or aptitude tests. These concepts are frequently tested in various government exams like Bank, SSC, Railways, and more. So, it’s of paramount importance for aspirants to understand and master Permutation and Combination questions.

In this article, not only will you find a treasure trove of Permutation and Combination questions, but you’ll also gain access to detailed explanations that will simplify these intricate concepts. It doesn’t matter if you are just starting out or need advanced permutation and combination problems; this compilation will serve all your needs.

In conclusion, we encourage all our readers to dive deep into the world of Permutation and Combination questions. With practice and understanding, no problem is too big to solve. Whether you’re seeking information in Hindi, prepping for the CAT, or need a handy permutation and combination pdf for reference, we’ve got you covered. Happy learning!

Top 160 Permutation and Combination questions:

101. A box contains 6 apples, 4 bananas and 5 oranges. Three fruits are drawn at random, then what is the probability of that all are Orange?

एक बॉक्स में 6 सेब, 4 केले और 5 संतरे होते हैं। तीन फलों को यादृच्छिक रूप से निकाला जाता है, फिर क्या संभावना है कि सभी संतरे हैं?A. 2/91
B. 3/91
C. 4/91
D. 5/91
E. None of these

Option “A” is correct.

Required probability = 5C3/15C3

= (5 * 4 * 3)/(15 * 14 * 13)

= 2/91

102. A bag contains 3 Apple, 4 Orange and 5 Banana. If two fruits are drawn at random, then what is the probability that both are Orange?

एक थैले में 3 सेब, 4 संतरे और 5 केले निहित है। यदि दो फलों को यादृच्छिक रूप से निकाला गया है, तो क्या संभावना है कि दोनों संतरे हैं?A. 1/11
B. 2/11
C. 3/11
D. 4/11
E. None of these

Option “A” is correct.

Required probability = 4C2/12C2

= 1/11

103. A bag contains 4 apples, 3 Bananas and 5 Orange. If two fruits are drawn at random, then what is the probability of that are Banana?

एक थैले में 4 सेब, 3 केले और 5 संतरे निहित हैं। यदि दो फलों को यादृच्छिक रूप से निकाला गया है, फिर उनके केले होने की संभावना क्या है?A. 1/22
B. 1/15
C. 1/21
D. 1/11
E. None of these

Option “A” is correct.

Required probability = 3C2/12C2

= 3 * 2/12 * 11

= 1/22

104. A bag contains 4 apples, 5 orange and 6 bananas. If three fruits are drawn one by one with replacement then what is the probability that all fruits are orange?

एक बैग में 4 सेब, 5 संतरे और 6 केले हैं। यदि तीनों फलों को प्रतिस्थापन के साथ एक-एक करके निकाला जाता है तो क्या संभावना है कि सभी फल संतरे हैं?A. 1/27
B. 1/64
C. 1/8
D. 1/125
E. None of these

Option “A” is correct.

Required Probability =5C1/15C1*5C1/15C1*5C1/15C1

=1/3*1/3*1/3=1/27

105. A bag contains 4 bananas, 5 apples and 3 oranges. If two fruits are drawn at random, then what is the probability of that fruits are apple?

एक बैग में 4 केले, 5 सेब और 3 संतरे होते हैं। यदि दो फल यादृच्छिक निकाले जाते हैं, तो क्या प्रायिकता है कि दोनों सेब है?A. 4/33
B. 1/11
C. 2/33
D. 5/33
E. None of these

Option “D” is correct.

Required probability = 5C2/12C2  

= 5/33

106. A bag contains 8 apples and 4 orange. If two fruits are drawn at random, then find the probability of that is same type?

एक बैग में 8 सेब और 4 संतरे हैं। यदि यादृच्छिक रूप से दो फल निकाले जाते हैं, तो उनके एक ही प्रकार के होने की प्रायिकता ज्ञात कीजिए?A. 16/33
B. 5/11
C. 17/33
D. 6/11
E. 14/33

Option “C” is correct.

Required probability = 8C2 + 4C2/12C2 

= 68/12 * 11

= 17/33

107. If the bag contains 3 apples and 4 orange, what is the probability of choosing two oranges?

यदि बैग में 3 सेब और 4 संतरे है, तो दो संतरे चुनने की प्रायिकता क्या है?A. 1/7
B. 2/7
C. 3/7
D. 4/7
E. None of these

Option “B” is correct.

Total fruits = 4 + 3 = 7

Required probability = 4C2/7C2   

= 4 * 3/7 * 6

= 2/7

108. A box contains 6 apples, 4 bananas and 5 oranges. Three fruits are drawn at random, then what is the probability of that all are Orange?

एक बॉक्स में 6 सेब, 4 केले और 5 संतरे हैं। यादृच्छिक रूप से तीन फल निकाले जाते हैं, तो सभी के संतरे होने की प्रायिकता क्या है?A. 2/91
B. 3/91
C. 4/91
D. 5/91
E. None of these

Option “A” is correct.

Required probability = 5C3/15C3

= (5 * 4 * 3)/(15 * 14 * 13)

= 2/91

109. In a bag contains 2 orange and 3 apples. If 2 fruits are selected, in how many ways that can be selected such that at least one apple?

एक बैग में 2 संतरे और 3 सेब हैं। यदि 2 फलों का चयन किया जाता है, तो उन्हें कितने तरीकों से चुना जा सकता है कि कम से कम एक सेब हो?A. 8
B. 9
C. 10
D. 11
E. None of these

Option “B” is correct.

Required ways = 5C2 – 2C2    

= 10 – 1 = 9

110. A basket contains x apple, 4 orange and 3 banana. One fruit is taken out randomly and the probability of getting a orange is 2/5, and find the value of x?

एक टोकरी में x सेब, 4 संतरे और 3 केले हैं। एक फल यादृच्छया निकाला जाता है और एक संतरा प्राप्त होने की प्रायिकता 2/5 है, फिर x का मान ज्ञात कीजिए?A. 2
B. 3
C. 1
D. 4
E. None of these

Option “B” is correct.

4C1/(7 + x)C1 = 2/5

20 = 14 + 2x

2x = 6

x = 3