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34
MCQ (Single Correct Answer)

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
35
MCQ (Single Correct Answer)

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
36
MCQ (Single Correct Answer)

The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is

A
${ }^{16} C_{11}$
B
${ }^{16} \mathrm{C}_5$
C
${ }^{16} \mathrm{C}_9$
D
${ }^{20} \mathrm{C}_9$
37
MCQ (Single Correct Answer)

The number of 5 -digit telephone numbers having atleast one of their digits repeated is

A
90000
B
10000
C
30240
D
69760
38
MCQ (Single Correct Answer)

The number of ways in which we can choose a committee from four men and six women, so that the committee includes atleast two men and exactly twice as many women as men is

A
94
B
126
C
128
D
None of these