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How many 3- digit even numbers are forme...

How many 3- digit even numbers are formed using the digits 0, 1, 2, …… 9, if the repetition of digit is not allowed ?

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KUMAR PRAKASHAN-PERMUTATIONS AND COMBINATIONS-PRACTICE WORK
  1. How many 4-digit number can be formed with the digit 1, 2, 3, 4, 6 an...

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  2. How many 3- digit even numbers are formed using the digits 0, 1, 2, ……...

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  3. Find the number of 4-letter words with or without meaning which can be...

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  4. How many four digit odd number are there ? (Repetition of digit is not...

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  5. How many number between 99 and 1000 are there if (i) Last digit is 0 ?...

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  6. Evaluate : (i) 2 xx 6! - 3 xx 5! (ii) (8!)/(4!) (iii) (20!)/(18!(2...

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  7. IF (n + 2)! = 2550 n! find n.

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  8. Prove that (n!) (n + 2) = [n! + (n + 1)!]

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  9. if 1/(7!)+1/(9!) =x/(10!) then find x.

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  10. Evaluate : ""((12!)-(10!)) / (9!)

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  11. How many words can be formed out of the letters of the word VOWEL. So...

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  12. How many words, with or without meaning can be made from the letters o...

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  13. How many words can be made form the letters of the word DAUGHTER assum...

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  14. How many three-digit numbers can be made using the digits 0, 1, 2, …, ...

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  15. From a committee of 10 persons, in how many ways can we choose a chair...

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  16. How many 3-digit even numbers that can be formed using the digit 2,4,6...

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  17. Find r : ""^(5) P(r) =42 ""^(6)P(r-1)

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  18. Prove that , ""^nPr = ""^((n-1))Pr + r. ""^(n-1)P((r-1))

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  19. If ""nPr=840 and ""^nCr=35, then r is equal to....

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  20. If ""^((n+2)) C8 :"" ^((n-2)) P4= 57 : 16 then find n.

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