Permutation and Combination Quiz 1

Question 1

Time: 00:00:00
Manjistha is looking for ways to make groupings with all of the letters in the word "NATION." How many N's appear in each of these arrangements?

5!/2! , 5!

5!/2! , 5!

6!/2! , 5!

6!/2! , 5!

4!/3!, 3!

4!/3!, 3!

None of the above

None of the above

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Question 2

Time: 00:00:00
Manish wants to know how many different ways the characters in the word "PARAGLIDING" may be organized so that all of the vowels appear at the same time.

132005

132005

120452

120452

120960

120960

115639

115639

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Question 3

Time: 00:00:00
Lima and her pals were on a long drive from Bangalore to Gokarna. Five pals, only two of whom can drive, will be seated in a five-seater car with two seats in front and three seats in the back. Friends who know how to drive don't sit next to each other. The driver's seat can only be occupied by someone who knows how to drive. Determine how many different ways the five people can be seated.

25

25

21

21

36

36

42

42

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Question 4

Time: 00:00:00
Rama, a small child, is playing a Snake & Ladder match with his friends; he is on level 91 and must reach 100 to win. On 93 and 96, there is a snake. If he doesn't want to roll the dice more than three times, how many different ways can he finish the game?

14

14

16

16

13

13

10

10

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Question 5

Time: 00:00:00
For the inter-college fashion show, 8 buddies will be chosen from a group of 9 boys and 7 girls. How many different ways will the candidates with a maximum of three girls and a minimum of four boys be chosen?

5432

5432

6431

6431

7653

7653

6435

6435

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Question 6

Time: 00:00:00
Deepika must form a five-person team for an inter-school contest. The debate club has a group of seven males and eight girls, and the squad must be made up entirely of these individuals. According to the tournament's rules, each team must have at least one female member. As a result, Deepika's team must include at least one female member. In how many ways can Deepika select her team?

2500

2500

2643

2643

3125

3125

2982

2982

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Question 7

Time: 00:00:00
Manisha went grocery shopping at Spencers. Six different Lays wrappers, four different cookies boxes, and two different chocolate packages are to be positioned on a rack in such a way that the Lays wrappers, cookies boxes, and chocolate packages all stand together. What is the maximum number of such arrangements that can be made?

254604

254604

263410

263410

207360

207360

314256

314256

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Question 8

Time: 00:00:00
Reema went to see a performance with her companions. When they arrived at their location, they discovered that five individuals were to be seated in five chairs for the concert, and three of them did not want to sit next to each other. Find out how many different ways this can be accomplished.

12

12

14

14

16

16

15

15

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Question 9

Time: 00:00:00
Monica invited a few of her coworkers to supper. In her home, there is a square table with two seats on each side. There are a total of ten persons present. How many different ways can the table's chairs be filled?

12!/4!

12!/4!

3!/5!

3!/5!

10!/8!

10!/8!

None of the above

None of the above

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Question 10

Time: 00:00:00
Manoj is assigned the task of figuring out how many three-letter words can be made from the letters in the term "PRACTICES."

432

432

357

357

421

421

None of the above

None of the above

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

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