91). Ten different letters of an alphabet are given. Words with 5 letters are formed from these given letter. Then, the number of words which have at least one letter repeated is--
| A). 69760 |
| B). 30240 |
| C). 99748 |
| D). All of these |
|
92). The number of rectangle that you can find on a Chess board is
| A). 1764 |
| B). 1600 |
| C). 1826 |
| D). 1296 |
|
93). Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from the above points?
| A). 495 |
| B). 550 |
| C). 1045 |
| D). 2475 |
|
94). There are 4 candidates for the post of a lecturer in Mathematics and one is to be selected by votes of 5 men. The number of ways in which the votes can be given is--
| A). 1048 |
| B). 1072 |
| C). 1024 |
| D). 1068 |
|
95). The number of ways in which 6 men and 5 women can dine at a round table, if no two women are to sit together is given by-
| A). \( \Large 6 ! \times 5 ! \) |
| B). \( \Large 5 ! \times 4 ! \) |
| C). 30 |
| D). \( \Large 7 ! \times 5 ! \) |
|
96). A faintly consists of a grandfather, 5 sons and daughters and 8 grandchildren. They are to be seated in a row for dinner. The grandchildren wish to occupy 4 seats at each end and the grand father refuses to have a grandchild on either side of him. The number of ways in which the family can be made to sit is-
| A). 11360 |
| B). 11520 |
| C). 21530 |
| D). None of these |
|
97). A father with 8 children takes 3 children at a time. to the zoological garden, as often as he can without taking the same 3 children together more than once. Then,
| A). number of times he will go to the zoological garden is 56 |
| B). number of times each child will go to the zoological garden is 21 |
| C). number of times a particular child will not go to the zoological garden is 35 |
| D). All of the above |
|
98). 11 persons decide to spend an afternoon in two groups. A group of them decides to go to a theatre and the remaining decide to play tennis. In how many ways can the group for tennis be formed. If there must be at least four persons in each group?
| A). 1682 |
| B). 1584 |
| C). 1884 |
| D). 1782 |
|
99). A committee of 5 is to be formed from a group of 12 students consisting of 8 boys and 4 girls. In how many ways can the committee be formed if it consists of exactly 3 boys and 2 girls?
| A). 436 |
| B). 336 |
| C). 548 |
| D). 356 |
|
100). In how many ways can a student choose a program of 5 courses, if 9 courses are available and 2 courses are compulsory for every student?
| A). 45 ways |
| B). 55 ways |
| C). 35 ways |
| D). 65 ways |
|
