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In how many ways can 5 apples be distrib...

In how many ways can 5 apples be distributed among 6 boys, there being no restriction to the number of apples each boy may get?

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To solve the problem of distributing 5 apples among 6 boys with no restrictions, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Problem**: We have 5 identical apples and 6 boys. Each boy can receive any number of apples, including none. 2. **Identifying Choices for Each Apple**: Since there are no restrictions on how many apples each boy can receive, each apple can be given to any of the 6 boys. ...
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RS AGGARWAL-PERMUTATIONS-SOLVED EXAMPLES
  1. Find the number of permutations of 7 objects, taken 3 at a time.

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  2. Find the number of different permutations of the letters of the word ...

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  3. How many words can be formed using the letter A thrice, the letter B ...

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  4. (i) Find how many arrangements can be made with the letters of the wo...

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  5. Find the number of arrangements of the letters of the INDEPENDENCE....

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  6. How many different words can be formed by using all the letters of the...

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  7. In how many of the distinct permutations of the letters in MISSISSIPPI...

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  8. (i) How many words can be formed with the letters of the word, 'HARYAN...

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  9. In how many ways can the letters of the word 'PERMUTATIONS' be arrang...

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  10. If the different permutations of all the letter of the word EXAMINATIO...

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  11. Find the number of words with or without meaning which can be made ...

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  12. How many numbers greater than a million can be formed with the digits ...

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  13. How many numbers greater than 400000 can be formed by using the digit...

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  14. How many numbers can be formed using the digits 1, 2, 3, 4, 3, 2, 1 so...

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  15. In how many ways can 4 letters be posted in 3 letter boxes?

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  16. In how many ways can 6 different rings be worn in 4 fingers of the han...

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  17. In how many ways can 5 apples be distributed among 6 boys, there being...

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  18. In how many ways can 3 prizes be distributed among 4 boys, when (i) ...

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  19. How many four-digit numbers can be formed with the digits 1, 2, 3, 4, ...

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  20. How many 4-digit numbers are there, when a digit may be repeated any n...

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