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From a class of 12 boys and 10 girls, 10...

From a class of 12 boys and 10 girls, 10 students are to be chosen for a competition, at least including 4 boys and 4 girls. The 2 girls who won the prizes last year should be included. In how many ways can the selection be made ?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. A mathematics paper consists of 10 questions divided into two parts I ...

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  2. From a class of 25 students, 10 are to be chosen for an excursion part...

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  3. From a class of 12 boys and 10 girls, 10 students are to be chosen for...

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  4. A bag contains 4 red, 3 white and 2 blue balls. Three balls are drawn ...

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  5. In how many ways can 12 things be equally divided : between 2 persons?

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  6. In how many ways can 12 things be equally divided : into 2 heaps ?

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  7. In how many ways can 18 different books be divided equally among three...

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  8. In how many ways can 12 things be equally divided among 4 persons ?

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  9. In how many ways can 15 things be divided into groups of 8, 4 and 3 re...

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

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

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

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

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

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

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

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

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

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

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