# 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

4

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

4

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

4

24

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

4

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

4

(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

4

14

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

4

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

4

384

Explanation :
No Explanation available for this question

# How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively

1.  5!

2.  4!

3.  6!–2!

4.

4

4!

Explanation :
No Explanation available for this question

1.  4

2.  3

3.  6

4.  5

4