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Show that there are 4536 numbers between...

Show that there are 4536 numbers between 1000 and 10000, which have none of their digits repeated. Of these, how many are odd numbers ?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. From a pool of 12 candidates, in how many ways can we select president...

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  2. Four alphabets E, K, S and V, one in each were purchased from a plasti...

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  3. Show that there are 4536 numbers between 1000 and 10000, which have no...

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  4. How many natural numbers not exceeding 4321 can be formed with the dig...

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  5. From the digits 1, 2, 3, 4, 5, 6, how many three-digit odd numbers can...

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  6. How many of the natural numbers can be formed from the digits 2, 3, 5,...

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

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  8. In a certain city, all telephone numbers have six digits, the first tw...

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  9. It is required to seat 5 men and 4 women in a row so that the women oc...

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  10. In how many ways can 4 boys and 3 girls be seated in a row of 7 chairs...

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  11. In how many ways can 4 boys and 3 girls be seated in a row so that no ...

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  12. In how many ways can 5 boys and 3 girls sit in a row so that no two gi...

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  13. In how many ways can 4 boys and 3 girls be seated in a row so that no ...

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  14. Find the number of 4 letter words, with or without meaning, which can ...

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  15. The letters of the word ‘TUESDAY’ are arranged in a line, each arrange...

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  16. How many 3-letter words can be made using the letters of the word ‘ORI...

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  17. Find the number of different 8-letter arrangenients that can be made f...

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  18. In how many ways can the letters of the word ‘HEXAGON’ be permuted ? I...

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  19. How many 3-letter words can be made using the letters of the word ‘ORI...

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  20. How many words, with or without meaning, each of 3 vowels and 2 conson...

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