11). 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 |
|
12). 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 |
|
13). 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 |
|
14). 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 |
|
15). 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 |
|
16). How many straight lines can be drawn from 15 non collinear points?
| A). 105 |
| B). 120 |
| C). 110 |
| D). 115 |
|
17). 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 |
|
18). 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 |
|
19). 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 |
|
20). Find the number of diagonals forms in hexagon.
| A). 12 |
| B). 10 |
| C). 6 |
| D). 9 |
|
