51). Any teacher can be included in the committee?
| A). 626 |
| B). 718 |
| C). 924 |
| D). 844 |
|
52). In how many different ways can the letters of the word 'PRAISE' be arranged?
| A). 720 |
| B). 610 |
| C). 360 |
| D). 210 |
|
53). On a shelf there are 4 books on Economics, 3 books on Management and 4 books on Statistics. In how many different ways can the books be arranged so that the books on Economics are kept together?
| A). 967680 |
| B). 120960 |
| C). 5040 |
| D). 40320 |
|
54). In how many different ways can the letters of the word ' THERAPY ' be arranged so that the vowels never come together?
| A). 720 |
| B). 1440 |
| C). 5040 |
| D). 3600 |
|
55). In how many ways the letters of the word VISITING can be rearranged?
| A). 6720 |
| B). 5720 |
| C). 720 |
| D). 7620 |
|
56). In how many different ways can the letters of the word 'REPLACE' be arranged?
| A). 2630 |
| B). 5040 |
| C). 1680 |
| D). None of these |
|
57). In how many ways the letters of the word SACRED can be arranged so that vowels come together?
| A). 240 |
| B). 120 |
| C). 320 |
| D). 720 |
|
58). In how many different ways can the letters of the word RUMOUR be arranged?
| A). 180 |
| B). 720 |
| C). 30 |
| D). 90 |
|
59). In how many different ways can the letters of the word 'CANDIDATE' be arranged in such a way that the vowels always come together?
| A). 4320 |
| B). 1440 |
| C). 720 |
| D). 840 |
|
60). A committee of five members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways this can be done if the committee should have all the 4 professors and 1 research associate or all 3 trainees and 2 professors?
| A). 15 |
| B). 18 |
| C). 25 |
| D). 12 |
|
