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In how many ways can a person invite one or more of his 8 friends to a feast ?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. In how many ways can 15 things be divided into groups of 8, 4 and 3 re...

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  2. A man has 7 friends. In how many ways can he invite one or more of the...

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  3. In how many ways can a person invite one or more of his 8 friends to a...

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

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

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

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

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

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

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

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

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

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

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

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  15. Find the number of divisors of the number 36000.

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

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

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

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

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

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