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In an Examination, a candidate has to pa...

In an Examination, a candidate has to pass in each of the four subjects. In how many ways can he fail ?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. In how many ways can a person invite one or more of his 8 friends to a...

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  2. In how many ways can a student of XI class choose 5 subjects out of 9 ...

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  3. In an Examination, a candidate has to pass in each of the four subject...

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  4. From 2 mangoes, 3 oranges and 4 apples, how many selections of fruits ...

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  5. From 2 mangoes, 3 oranges and 4 apples, how many selections of fruits ...

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  6. At an election, a voter may vote for any number of candidates not grea...

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  7. If m red balls and n white balls are placed in a row so that no two wh...

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  8. Serial numbers for an item produced in a factory are to be made using ...

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  9. How many 3-letter code words are possible using the first 10 letters o...

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  10. In how many ways, can three jobs I, II and III be assigned to three pe...

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  11. A biologist studying the genetic code is interested to know the number...

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  12. In the fig., we see that it has 4 horizontal blocks (or paths) and 3 v...

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  13. Find the number of divisors of the number 36000.

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  14. Prove that 33! is divisible by 2^15.

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  15. If r is allowed to vary, find the value of r for which "^nCr is maximu...

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  16. Find the number of ways in which the letters of the word “ARRANGEMENT”...

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  17. How many words, with or without meaning, each of 2 vowels and 3 conson...

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

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  19. In how many ways can the letters of the word ASSASSINATION be arranged...

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  20. In how many ways can the letters of the word 'ALGEBRA' can be arranged...

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