A sports team of 11 students is to be constituted, choosing at least 5 from Class XI and atleast 5 from Class XII. If there are 20 students in each of these classes, in how many ways can the team be constituted?

A group consists of 4 girls and 7 boys. In how many ways can a team of 5
members be selected if the team has
(i) no girls
(ii) at least one boy and one girl
(iii) at least three girls.

The number of possible outcomes when a coin is tossed 6 times is
(A) 36
(B) 64
(C) 12
(D) 32

The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is
(A) 120
(B) 96
(C) 24
(D) 100

The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is
(A) 432
(B) 108
(C) 36
(D) 18

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
(A) 60
(B) 120
(C) 7200
(D) 720

A five digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4  and 5 without repetitions. The total number of ways this can be done is
(A) 216
(B) 600
(C) 240
(D) 3125

Every body in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the room is
(A) 11
(B) 12
(C) 13
(D) 14

The number of triangles that are formed by choosing the vertices from a set of 12 points, seven of which lie on the same line is
(A) 105
(B) 15
(C) 175
(D) 185

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is
 (A) 6
(B) 18
(C) 12
(D) 9

The number of 5-digit telephone numbers having atleast one of their digits repeated is
(A) 90,000
(B) 10,000
(C) 30,240
(D) 69,760