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

Compute `(8!)/(6!xx2!)`

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`81=1 xx 2 xx 3 xx 4 xx 5 xx 6 xx 7 xx 8=61 xx 7 xx 8`
`therefore 81/6 ! xx 2 !=61/6 ! xx 2 !=7xx8/2=7 xx 4=28`
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V PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTIONBANK
  1. Evaluate 4!-3!

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  2. Is 3!+4!=7! ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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