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If "^(n+5)P(n+1)=(11(n-1))/2"^(n+3)Pn ,...

If `"^(n+5)P_(n+1)`=`(11(n-1))/2"^(n+3)P_n` , find `ndot`

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To solve the equation \((n+5)P_{(n+1)} = \frac{11(n-1)}{2} (n+3)P_n\), we will use the formula for permutations, which states that \(nPr = \frac{n!}{(n-r)!}\). ### Step 1: Write the permutations in terms of factorials Using the permutation formula, we can express both sides of the equation: \[ (n+5)P_{(n+1)} = \frac{(n+5)!}{(n+5-(n+1))!} = \frac{(n+5)!}{(4)!} \] ...
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RD SHARMA ENGLISH-PERMUTATIONS-All Questions
  1. The sum of all four-digit numbers that can be formed by using the d...

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  2. If P(15 ,r-1): P(16 ,r-2)=3:4 , find rdot

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  3. If "^(n+5)P(n+1)=(11(n-1))/2"^(n+3)Pn , find ndot

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  4. How many words, with or without meaning, can be formed by using the ...

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  5. If a denotes the number of permutations of (x+2) things taken all at a...

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  6. In how many ways can 9 examination papers arranged so the best and the...

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  7. How many words can be formed with the letters of the words ‘ORDINATE’ ...

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  8. A code word is to consist of two distinct English alphabets followed b...

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  9. In how many ways can 5 children the arranged in a row such that two of...

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  10. How many words can be formed from the letters of the word, TRIANGLE? ...

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  11. (i) How many different words can be formed with letters of the word ‘S...

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  12. In how many ways can 5 girls and 3 boys be seated in a row so that ...

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  13. How many words can be formed with the letters of the words ‘ORDINATE’ ...

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  14. When a group photograph is taken, all the seven teachers should be in ...

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  15. In a class of 10 students there are 3 girls A, B, C. In how many di...

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  16. Compute: (20 !)/(18 !)

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  17. Compute: (10 !)/(6! 10 !)

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  18. Convert the following products into factorial: 6.7.8.9.10

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  19. Convert the following products into factorial: 2.4.6.8.10

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  20. Find the LCM of 4! 5! and 6!

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