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Ten horses are running a race. In how ma...

Ten horses are running a race. In how many ways can these horses come in the first, second and third place, assuming no ties ?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. How many 4-digit numbers are there with no digit repeated?

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  2. How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 a...

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  3. Ten horses are running a race. In how many ways can these horses come ...

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  4. From a committee of 8 persons, in how many ways can we choose a chairm...

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  5. From a pool of 12 candidates, in how many ways can we select president...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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