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Find the number of ways in which one can...

Find the number of ways in which one can post 5 letters in 7letter boxes.

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To find the number of ways to post 5 letters into 7 letter boxes, we can follow these steps: ### Step 1: Understand the Problem We have 5 letters and 7 boxes. Each letter can be placed in any of the 7 boxes. There are no restrictions on how many letters can go into each box. **Hint:** Think about how many choices you have for each letter. ### Step 2: Determine Choices for Each Letter ...
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RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. How many five digit telephone numbers can be constructed using the dig...

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  2. Find the number of ways in which 8 distinct toys can be distributed ...

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  3. Find the number of ways in which one can post 5 letters in 7letter ...

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  4. In how many ways can 5 different balls be distributed among three bo...

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  5. In how many ways can 7 letters be posted in 4 letter boxes?

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  6. In how many ways can 4 prizes be distributed among 5 students, when No...

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  7. There are 10 lamps in a hall. Each one of them can be switched on i...

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  8. Evaluate the following: \ ^5P3

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  9. Evaluate the following: 15(P3)

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  10. Evaluate the following:5(P5)

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  11. if 5(p r)=6(p (r-1)) find r.

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  12. If 10(Pr)=5040 , find the value of rdot

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  13. If ^0P5+5^9P4=^(10)Pr , find the value of rdot

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  14. Prove the following: P(n , n)=2P(n , n-2)

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  15. Prove the following: P(n , r)=P(n-1, r)+rdotP(n-1,\ r-1)

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  16. Prove the following: n(Pn)​= n(P(n−1))

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  17. Prove the following: P(n , r)=ndotP(n-1,\ r-1)

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  18. In how many ways three different rings can be worn in four fingers wit...

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  19. How many different signals can be made by 5 flags from 8 flags of d...

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  20. Three men have 4 coats, 5 waist coats and 6 caps. In how many ways c...

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