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(i) In how many ways a committee of 4 me...

(i) In how many ways a committee of 4 members out of 5 gents and 6 ladies can be formed if there is at least one lady in the committee?
(ii) From a class of 12 boys and 8 girls, 10 students are to be chosen for a competition, including at least 4 boys and 4 girls. The two boys whho won the prizes last year should be included. In how many was can this selection be made?

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The correct Answer is:
(i) 325 (ii) 22680
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NAGEEN PRAKASHAN-PERMUTATION AND COMBINATION -Exercise G
  1. There are 4 girls and 7 boys in a group. In how many waysa team of 5 m...

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  2. There are 8 questions in a paper and a student have to attempt 5 quest...

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  3. (i) In how many ways a committee of 4 members out of 5 gents and 6 lad...

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  4. Out of 20 consonants and 5 vowels, how many words can be formed contai...

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  5. Out of 12 consonants and 5 vowels, how many words of 2 consonants and ...

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  6. How many words can be formed with 3 vowels and 2 consonants taken from...

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  7. There are 10 points on a plane of which 5 points are collinear. Also, ...

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  8. There are 16 points in a plane of which 6 points are collinear and no ...

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  9. No. of diagonals of a hexagon are:

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  10. Find the number of diagonals of a 16-sided polygon.

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  11. (i) Find the number of sides of a polygon if it has 35 diagonals. (i...

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  12. In how many ways can 7 red and 6 black balls be arranged in a row, if ...

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  13. In how many ways can 12 white and 8 black balls be arranged in a row i...

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  14. A person invites a group of 10 friends at dinner and sits 5 on a round...

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  15. In an examination a minimum is to be secured in ech of 5 subjects for ...

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  16. It is necessary to pass in each subject out of 7 subjects in an examin...

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  17. Find the number of ways of getting 2 heads and 4 tails in 6 throws of ...

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  18. How many factors are there of the number 2520?

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  19. How may other factors are there of the number 37800?

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  20. Out of 4 mangoes, 5 bananas and 6 guava, find (i) number of ways in ...

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