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The students in a class are seated accor...

The students in a class are seated according to the marks in the previous examination. Once it so happens that four of these students get equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements, one in each of separate bits of paper, in order to choose one of these by lots. How many bits of paper are required ?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. Find the number of different signals that can be generated by arrangin...

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  2. In a monthly test, the teacher decides that there will be three questi...

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  3. The students in a class are seated according to the marks in the previ...

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  4. Eight children are to be seated on a bench. In how many ways can the c...

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  5. Eight children are to be seated on a bench. How many arrangements are ...

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  6. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and ...

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  7. A coin is tossed three times and the outcomes are recorded. How many p...

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  8. A class consists of 40 girls and 60 boys. In how many ways can a presi...

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  9. How many numbers are there between 100 and 1000 such that 7 is in the ...

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  10. How many numbers are there between 100 and 1000 such that at least one...

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  11. How many of them have exactly one of their digits as 7 ?

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  12. A mint prepares metallic calendars specifying months, dates and days i...

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  13. For a set of five true or false questions, no student has written all ...

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  14. How many automobile licence plates can be made if the inscription on e...

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  15. The Licence plates for vehicles registered in Delhi consist of 3 lette...

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  16. Evaluate : "^8P5.

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  17. Evaluate : "^10P3.

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  18. Evaluate : "^20P4.

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  19. Evaluate : "^75P2.

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  20. Find r if : ^5Pr= "^6P(r-1).

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