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How many natural numbers not exceeding 4...

How many natural numbers not exceeding 4321 can be formed with the digits 1, 2, 3 and 4, if the digits can repeat ?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. Four alphabets E, K, S and V, one in each were purchased from a plasti...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. How many words can be formed out of the letters of the word ‘ARTICLE’ ...

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