1). Find the number of ways, in which 12 different beads can be arranged to form a necklace.
A). 11! / 2 
B). 10! / 2 
C). 12! / 2 
D). Couldn't be determined 
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2). 20 persons were invited to a party. In how many ways, they and the host can be seated at a circular table?
A). 18! 
B). 19! 
C). 20! 
D). Couldn't be determined 
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3). A committee of 5 members is going to be formed from 3 trainees, 4 professors and 6 research associates. How many ways can they be selected, if in a committee, there are 2 trainees and 3 research associates?
A). 15 
B). 45 
C). 60 
D). 9 
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4). In how many ways, a committee of 3 men and 2 women can be formed out of a total of 4 men and 4 women?
A). 15 
B). 16 
C). 20 
D). 24 
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5). In how many ways, a cricket team of 11 players can be made from 15 players, if a particular player is always chosen?
A). 1835 
B). 1001 
C). 1635 
D). 1365 
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6). In how many ways, a cricket team of 11 players can be made from 15 players, if a particular player is never chosen?
A). 364 
B). 480 
C). 1365 
D). 640 
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7). How many straight lines can be drawn from 15 non collinear points?
A). 105 
B). 120 
C). 110 
D). 115 
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8). There is a polygon of 12 sides. How many triangles can be drawn using the vertices of polygon?
A). 200 
B). 220 
C). 240 
D). 260 
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9). There are 14 points in a plane, out of which 4 are collinear. Find the number of triangles made by these points.
A). 364 
B). 360 
C). 368 
D). 365 
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10). There are 10 points in a plane, out of which 5 are collinear. Find the number of straight lines formed by joining them.
A). 36 
B). 45 
C). 30 
D). 35 
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