A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is equal to :
28
27
25
24
The number of ways of choosing 10 objects out of objects of which are identical and the remaining are distinct, is:
iIf three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is :
Suppose that 20 pillars of the same height have been erected along the boundary
of a circular stadium. If the top of each pillar has been connected by beams with the
top of all its non-adjacent pillars, then the total number of beams is :
170
180
210
190
Assume that each born child is equally likely to be a boy or a girl. If two
families have two children each, then the conditional probability that
all children are girls given that at least two are girls is:
The number of 6 digit numbers that can be formed using the
digits 0,1,2,5,7 and 9 which are divisible by 11 and no digit is repeated, is:
72
60
48
36
A committee of members is to be formed from males and females. if is the number of ways the commitee is formed with at least males and is the number of ways the commitee is formed with at least females, then :
The number of four - little number strictly greater than than can be formed using the digits (repetition of digits is allowed) is :
All possible numbers are formed using the digits taken all at a time. The number of such numbers in which the odd digits occupy even places is :
There are m men and two women participating in a chess tournament. Each paricipant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by 84, then the value of m is :
Consider three boxes, each containing 10 balls labelled Suppose one ball is randomly drawn from each of the boxes. Denote by the label of the ball drawn from the box, Then, the number of ways in which the balls can be chosen such that is :
164
120
82
240
The number of natural numbers less than 7,000 which can be formed by using the digits 0,1,3,7,9 (repitition of digits allowed) is equal to :
250
374
372
375
Let S be the set of all triangles in the xy-plane,each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangles is S has area 50 sq. units, then the number of the elements in the set S is:
9
32
18
36
Consider a class of 5 girls and 6 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys A and B, who refuse to be members of the same team, is:
500
200
300
250
If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is :
46th
59th
52nd
58th
Two numbers are selected at random (without replacement) from the first six positive integers. If X denotes the smaller of the two numbers, then the expectation of X, is :
Let be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If then the value of n is :
8
7
5
10
How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?
8 - digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do not occupy odd places, is :
160
120
60
48
The sum of the digits in the unit’s place of all the 4-digit numbers formed by using the numbers 3, 4, 5 and 6, without repetition,is :
432
108
36
18