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How many numbers are there between 100 and 1000 such that every digit is either 2 or 9?

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To solve the problem of how many numbers are there between 100 and 1000 such that every digit is either 2 or 9, we can follow these steps: ### Step 1: Identify the Range We are looking for numbers between 100 and 1000. This means we are considering three-digit numbers. ### Step 2: Determine the Digits Each digit of the three-digit number can either be a 2 or a 9. Therefore, for each digit, we have 2 choices. ...
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RS AGGARWAL-PERMUTATIONS-ILLUSTRATIVE EXAMPLES
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  2. Find the number of 4-letter words. with or without meaning, which can ...

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  3. How many words (with or without meaning) of three distinct letters of ...

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  4. How many numbers are there between 100 and 1000 in which all the digit...

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  5. How many 9-digit numbers of different digits can be formed?

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  6. How many numbers between 2000 and 3000 can be formed from the digits 2...

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  7. How many 3-digit odd numbers can be formed by using the digits 1, 2, 3...

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  8. How many odd numbers less than 1000 can be formed by using the digits ...

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

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

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  11. How many numbers are there between 100 and 1000, which have exactly o...

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  12. How many numbers are there between 100 and 1000 such that every digit...

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  13. How many three digit numbers can be formed without using the digits ...

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  14. In how many ways can 8 students be arranged in (i) a line, (ii...

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  15. If 20 persons were invited for a party, in how many ways can they and ...

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  16. In how many ways can a party of 4 men and 4 women be seated at a circ...

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  17. A round table conference is to be held between delegates of 20 cuntrie...

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  18. The number of ways can seven persons sit around a table so that all sh...

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  19. 3 boy and 3 girls are to be seated around a table in a circle. Among t...

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  20. Find number of ways that 8 beads o different colors be strung as a ...

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