Common Data Question 1/4 If all students attend the competition and the winners are exactly 3 freshmen.

1. 3!×5C3×15C3

2. 3!×5P3×15P3

3. 6!×5C3×15C3

4. 6!×5P3×15P3

View Answer

Correct Answer :

6!×⁵C₃×¹⁵C₃

Explanation :
No Explanation available for this question

Common Data Question 2/4 If all students attend the competition and the winners are exactly 3 freshmen and 3 sophomores

1. 3!×5C3×15C3

2. 3!×5C3×8C3

3. 6!×5P3×15P3

4. 6!×5C3×8C3

View Answer

Correct Answer :

6!×⁵C₃×⁸C₃

Explanation :
No Explanation available for this question

Common Data Question 3/4 If all students attend the competition and the winners are an equal number of freshmen, sophomores, and juniors.

1. 6!×5C2×8C2×7C2

2. 3!×5C2×8C2×7C2

3. 6!×5P2×8P2×7P2

4. 3!×5P2×8P2×7P2

View Answer

Correct Answer :

6!×⁵C₂×⁸C₂×⁷C₂

Explanation :
No Explanation available for this question

Common Data Question 4/4 If all students attend the competition and the winners are all members of the same class

1. 21,200

2. 23,200

3. 25,200

4. 27,200

View Answer

Correct Answer :

25,200

Explanation :
No Explanation available for this question

Find the number of ways in which 8064 can be resolved as the product of two factors

1. 22

2. 24

3. 21

4. 20

View Answer

Correct Answer :

Explanation :
No Explanation available for this question

The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR

1. 275

2. 251

3. 240

4. 242

View Answer

Correct Answer :

242

Explanation :
No Explanation available for this question

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. (i)- How many different ways are there to select a group of four students to attend the conference (ii)- If the members of the club decide to send two juniors and two seniors, how many different groupings are possible?

1. (i): 37C4 , (ii): 14C2×23C2

2. (i): 37P4 , (ii): 14P2×23P2

3. (i): 37P4 , (ii): 14C2×23C2

4. (i): 37C4 , (ii): 14P2×23P2

View Answer

Correct Answer :

(i): ³⁷C₄ , (ii): ¹⁴C₂×²³C₂

Explanation :
No Explanation available for this question

If 5×nP3=4×n+1P3 find n

1. 10

2. 12

3. 11

4. 14

View Answer

Correct Answer :

Explanation :
No Explanation available for this question

Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:

1. 69760

2. 30240

3. 99748

4. 42386

View Answer

Correct Answer :

69760

Explanation :
No Explanation available for this question

12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.

1. 360

2. 384

3. 432

4. 470

View Answer

Correct Answer :

384

Explanation :
No Explanation available for this question

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A to Z Exams

Common Data Question 1/4 If all students attend the competition and the winners are exactly 3 freshmen.

Common Data Question 2/4 If all students attend the competition and the winners are exactly 3 freshmen and 3 sophomores

Common Data Question 3/4 If all students attend the competition and the winners are an equal number of freshmen, sophomores, and juniors.

Common Data Question 4/4 If all students attend the competition and the winners are all members of the same class

Find the number of ways in which 8064 can be resolved as the product of two factors

The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR

If 5×nP3=4×n+1P3 find n

Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:

12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.

Interview Questions