71). The committee should have all 4 professors and 1 research associate or all 3 trainees and 2 professors?
| A). 12 |
| B). 13 |
| C). 24 |
| D). 52 |
|
72). The committee should have 2 trainees and 3 research associates?
| A). 15 |
| B). 45 |
| C). 60 |
| D). 9 |
|
73). In how many different ways can the letters of the word 'MIRACLE' be arranged?
| A). 720 |
| B). 5040 |
| C). 2520 |
| D). 40320 |
|
74). In how many different ways can the letters of the word 'PUNCTUAL' be arranged?
| A). 64 |
| B). 40320 |
| C). 960 |
| D). 20160 |
|
75). In how many different ways can it be done so that the committee has at least one woman?
| A). 210 |
| B). 225 |
| C). 195 |
| D). 185 |
|
76). In how many different ways can it be done, so that the committee has at least 2 men?
| A). 210 |
| B). 225 |
| C). 195 |
| D). 185 |
|
77). In how many ways this can be done if at least 5 women have to be included in a committee?
| A). 6000 |
| B). 6010 |
| C). 6062 |
| D). 6005 |
|
78). In how many of these committees, the women are in majority?
| A). 2000 |
| B). 2700 |
| C). 2705 |
| D). 2702 |
|
79). In how many of these committees, the men are in majority?
| A). 1008 |
| B). 1100 |
| C). 1200 |
| D). 1225 |
|
80). In how many different ways can the letters of the word 'PRIDE' be arranged?
| A). 60 |
| B). 120 |
| C). 15 |
| D). 360 |
|
