Question
Match each item given under the column C1 to its correct answer given under the column C2.
There are 10 professors and 20 lecturers out of whom a committee of 2 professors and 3 lecturer is to be formed. Find:
There are 10 professors and 20 lecturers out of whom a committee of 2 professors and 3 lecturer is to be formed. Find:
| | C1 | | C2 |
| (a) | In how many ways committee can be formed. | (i) | 10C2 × 19C3 |
| (b) | In how many ways a particular professor is included. | (ii) | 10C2 × 19C2 |
| (c) | In how many ways a particular lecturer is included. | (iii) | 9C1 × 20C3 |
| (d) | In how many ways a particular lecturer is excluded. | (iv) | 10C2 × 20C3 |