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Count the numbers between 999 and 10,000...

Count the numbers between 999 and 10,000 subject to the condition that there are .
(i) no restriction .
(ii) no digit is repeated .
(iii) at least one of the digits is repeated .

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The correct Answer is:
9000
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PREMIERS PUBLISHERS-COMBINATORICS AND MATHEMATICAL INDUCTION-EXERCISE 4.1
  1. How many three-digit odd numbers can be formed by using the digits 0...

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  2. How many three-digit odd numbers can be formed by using the digits 0...

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  3. Count the numbers between 999 and 10,000 subject to the condition that...

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  4. Count the numbers between 999 and 10,000 subject to the condition that...

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  5. Count the numbers between 999 and 10,000 subject to the condition that...

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  6. How many three- digit numbers, which are divisible by 5, can be for...

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  7. How many three- digit numbers, which are divisible by 5, can be for...

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  8. To travel from a place A to place B, there are two different bus rout...

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  9. How many numbers are there between 1 and 1000 (both inclusive ) whi...

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  10. How many strings can be formed using the letters of the word LOTUS ...

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  11. How many strings can be formed using the letters of the word LOTUS ...

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  12. (i) Count the total number of ways of answering 6 objective type q...

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  13. (i) Count the total number of ways of answering 6 objective type q...

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  14. (i) Count the total number of ways of answering 6 objective type q...

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  15. Find the value of Q 6!

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  16. Find the value of 6! (ii) 4 ! + 5 ! (iii) 3! - 2! (iv) 3! x...

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  17. Find the value of Q 3!-2!

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  18. Find the value of Q 3!xx4!

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  19. Find the value of Q (12!)/(9!xx3!)

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  20. Find the value of Q ((n+3)!)/((n+1)!)

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