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Find\ x in each of the following: 1/(6!)...

Find`\ x` in each of the following: `1/(6!)+1/(7!)=x/(8!)`

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Given,`1/(6!)+1/(7!)=x/(8!),`
=`(1/(6!)+1/(7×6!))=x/(8×7×6!)`
=`1/(6!)(1+1/7)=1/(6!)(x/(8xx7))`
=` 8/7=x/(8×7) ⇒ x=64.`
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RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. Find\ x in each of the following: 1/(4!)+1/(5!)=x/(6!)

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  2. Find\ x in each of the following: x/(10 !)=1/(8!)+1/(9!)

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  3. Find\ x in each of the following: 1/(6!)+1/(7!)=x/(8!)

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  4. Convert the following products into factorial: 5. 6. 7. 8. 9. 10

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  5. Convert the following products into factorial: 3.6.9.1.15.18

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  6. Convert the following products into factorial: (n+1)(n+2)(n+3).......(...

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  7. Convert the following products into factorial: 1. 3. 5. 7. 9 (2n-1)

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  8. Which of the following are true: (2+3)!=2!+3!

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  9. Which of the following are true: \ (2xx3)!=2!xx3!

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  10. Prove that: n !(n+2)=n !+(n+1)!

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

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

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

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

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

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

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

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

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

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

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