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How many 5-digit telephone numbers can b...

How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. The digits, from 0 to 9, are written on slips of paper and placed in a...

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  2. For a group photograph, 3 boys and 2 girls stand in a line in all poss...

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  3. How many 5-digit telephone numbers can be constructed using the digits...

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  4. Given (i) 4 flags (ii) 5 flags of different colours, how many differen...

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  5. Find the number of different signals that can be made by arranging at ...

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  6. How many numbers can be formed from the digits 1, 2, 3, 9 if repetitio...

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  7. Kartar goes to a movie. The cinema hall has two entrances and three ex...

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  8. Find the number of different signals that can be generated by arrangin...

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

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

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

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

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

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

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

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

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

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

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

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

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