# HackerRank Permutation and Combination Quiz -1

Question 1

Time: 00:00:00
In how many ways can 4 girls and 6 boys be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row ?

20 × 8!

20 × 8!

15 × 7!

15 × 7!

9!

9!

(16 × 8!) - (3 × 6!)

(16 × 8!) - (3 × 6!)

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Question 2

Time: 00:00:00
The reformation of the Union parliament has been proposed and for this, a team of 4 engineers is to be selected from a total of 8 males and 8 females engineers. Then in how many ways can the selections be made to include at least 1 female engineer.

448

448

1750

1750

1875

1875

3500

3500

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Question 3

Time: 00:00:00
The Rotary Club of Delhi organises table tennis competitions every year. Every person had to play exactly one game with every other person. It was found that in 36 games both the players were men and in 78 games both the players were women. Find the total numbers of matches that were played in which one member wea man and other woman?

107

107

127

127

122

122

117

117

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Question 4

Time: 00:00:00
In how many different ways can the letters of the word “PATIENCE” be arranged so that all the consonants come together?

1440

1440

1240

1240

360

360

380

380

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Question 5

Time: 00:00:00
While shooting for the movie Dhoom 3, Amir Khan and Abhishek Bachchan took a break and went to Domino’s to have some snacks. They want to order two burgers, one French fries, one cold drink and a dessert. There are 5 types of burgers, 2 types of French fries, 3 types of cold drinks and 5 types of desserts available. They will have the same dessert but they will eat different burgers from each other and both the burgers in their meal will also be different. What is the number of ways in which they can place the order?

4800

4800

5150

5150

5230

5230

5400

5400

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Question 6

Time: 00:00:00
In the wedding party of Virat and Anushka, twenty families, each consisting of 5 members attended the party and exchanged flowers with every other person of a different family exactly once. Find the total number of flower exchanges that happened in the party.

4350

4350

4980

4980

4750

4750

4690

4690

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Question 7

Time: 00:00:00
In a certain class in SVM school there are 11 students. Out of 11, 3 of them are cousins. In a particular game, how many ways can all the students be seated in a circular order so that the three cousins are not seated together?

3468455

3468455

3386880

3386880

3296880

3296880

3385480

3385480

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Question 8

Time: 00:00:00
In a Big Bazaar supermarket, there are six different masala packets, four different Biscuit packets and two different Namkeen packets are to be arranged on a shelf such that the masala packet stand together, the Biscuit packet stand together and the Namkeen packet stand together. How many such arrangements are possible?

6! 6!

6! 6!

6! 4! 3!

6! 4! 3!

6! 6! 2!

6! 6! 2!

6! 5!

6! 5!

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Question 9

Time: 00:00:00
In a meeting there are a total of 10 employees participating in which 5 are men and 5 are women. Additionally, there is also a boss who is standing near the podium. All the employees need to be seated on a round table. Find the number of ways they can seat such that no two women are seated together.

362610

362610

366210

366210

2880

2880

2460

2460

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Question 10

Time: 00:00:00
In a monthly meeting of a college, 8 faculties, 1 HoD and 1 director are participating. In the meeting hall, they all have to sit around a round table. If the HoD should sit between a faculty and the director, in how many ways can they be seated ?

2!*8!

2!*8!

2!*9!

2!*9!

3!*8!

3!*8!

3!*9!

3!*9!

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["0","40","60","80","100"]
["Need more practice!","Keep trying!","Not bad!","Good work!","Perfect!"]

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