# If n objects are arranged in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is

1.  (n-3)C3

2.   (n-2)C3

3.  (n+3)C3

4.  (n+2)C3

4

(n-2)C3

Explanation :
No Explanation available for this question

# The position vector of a point P is r=xi+yj+zk, where xN, y?N, z?N  and a=i+j+k. If r.a=10, then the number of possible positions of P is

1.  36

2.  72

3.  66

4.  none

4

36

Explanation :
No Explanation available for this question

# Let a=i+j+k and let ‘r’ be a variable vector such that r.i, r.j, r.k are positive integers. If r.a

1.  12C9-1

2.  12C3

3.  12C4

4.  none

4

12C3

Explanation :
No Explanation available for this question

# The number of integers x,y,z,w such that x+y+z+w=20 and x,y,z,w > -1, is

1.  24C3

2.  25C3

3.  26C3

4.  27C3

4

27C3

Explanation :
No Explanation available for this question

# Sum of all three digit numbers (no digit being zero) having the property that all digits are perfect squares, is

1.  3108

2.  6216

3.  13986

4.  none

4

13986

Explanation :
No Explanation available for this question

# In how many ways 4 sovereigns be given away, when there are 5 applicants and any applicant may have either 0,1,2,3or4 sovereigns

1.  60

2.  65

3.  70

4.  75

4

70

Explanation :
No Explanation available for this question

# The number of ways of selecting 10 balls out of an unlimited number of white, red, green and blue balls is

1.  236

2.  256

3.  276

4.  286

4

286

Explanation :
No Explanation available for this question

# The number of ways in which an examiner can assign 20 marks to 4 questions giving not less than 2 marks to any question is

1.  280

2.  365

3.   455

4.  545

4

455

Explanation :
No Explanation available for this question

# How many integers between 1 and 1000 have the sum of the digits equal to 18

1.  116280

2.  670

3.  320

4.  none

4

670

Explanation :
No Explanation available for this question

1.  116280

2.  670

3.  320

4.  none

4