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if 1/(6!) +1/(7!) = x/(8!) , find x....

if `1/(6!) +1/(7!) = x/(8!)` , find x.

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We hạve `1/6 !+1/7 xx 6 !=x/8 xx 7 xx 6 !`
ie, `1+1/7=x/8 xx 7`
ie, `8/7 doteq x/8 xx 7 , ie, 8=x/8`
`because x=8 xx 8=64 .`
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V PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTIONBANK
  1. Is 3!+4!=7! ?

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  2. Compute (8!)/(6!xx2!)

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  3. if 1/(6!) +1/(7!) = x/(8!) , find x.

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  4. Evaluate (n!)/((n-r)!) n = 9, r = 5

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  5. Find the number of permutation of the letters of the word ALLAHABAD.

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  6. How many 4 -digit numbers can be formed by using' the digits 1 to 9 'i...

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  7. How many numbers lying between: 100 and 1000 can be formed with the di...

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  8. Find the value of n such that (i) overset(n) P5=42 overset(n) P3, n g...

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  9. Find r , if 5 xx ^4Pr = 6 xx ^5P(r-1)

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  10. Find the number of different 8-letter arrangements that can be made fr...

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  11. In how many ways can 4 red, 3 yellow and 2 green discs be arranged in ...

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  12. Find the arrangements of letters of the word INDEPENDENCE. In how many...

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  13. How many 3-digit numbers can be formed by using the digits 1 to 9 if n...

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  14. How many 4-digit numbers are there with no digit repeated?

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  15. How many 3-digit even numbers can be made using the digits 1,2,3,4,6,7...

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  16. Find the number of 4-digit numbers that can be formed using the digits...

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  17. From a committee of 8 persons, in how many ways can we choose a chairm...

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  18. Find r ,if ^5Pr = 2 xx ^6P(r-1)

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  19. How many words, with or without meaning, can be formed using all the l...

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  20. How many words, with or without meaning that can be made from the lett...

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