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If (n+1)! =90[(n-1)!], fin d n...

If `(n+1)! =90[(n-1)!],` fin d n

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To solve the equation \((n+1)! = 90 \cdot (n-1)!\), we can follow these steps: ### Step 1: Rewrite the Factorials We start by rewriting \((n+1)!\) in terms of \(n\): \[ (n+1)! = (n+1) \cdot n \cdot (n-1)! \] So we can substitute this into the equation: ...
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RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. Prove that: n !(n+2)=n !+(n+1)!

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  2. if(n+2)! =60[(n-1)!],find n

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  3. If (n+1)! =90[(n-1)!], fin d n

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  4. If (n+3)! =56[(n+1)! fin n

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  5. Prove that ((2n)!)/(n !)=2^n{1. 3. 5 (2n-1)}

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  6. There are 3 candidates for a classical, 5 for a Mathematical,, and 4 ...

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  7. The flag of a newly formed forum is in the form … of three blocks, eac...

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

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  9. Given 4 flags of different colours, how many different signals can be ...

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  10. Find the number of different signals that can be generated by arrangin...

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

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  12. Find the total number of ways of answering 5 objective type questions,...

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

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  14. How many numbers are there between 100 and 1000 consists such that ...

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  15. How many numbers are there between 100 and 1000 such that 8 is the u...

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  16. How any three digit odd numbers can be formed by using the digits 1...

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  17. How many 3-digit even number can be formed form the digits 1,2,3,4,5,6...

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  18. How many numbers of 3 digits can be formed with the digits 1,2,3,4,5 ...

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  19. Find the number of numbers of 5 digits than can be formed with the ...

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  20. How many 4-digit numbers are there when a digit may be repeated an ...

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