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In how many ways can a committee of 6 me...

In how many ways can a committee of 6 members e formed out of 4 teachers and 7 students when
(i) one teacher is in the committee?
(ii) at least one teacher is in the committee?

Text Solution

Verified by Experts

The correct Answer is:
(i) 186 (ii) 186
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NAGEEN PRAKASHAN-PERMUTATION AND COMBINATION -Exercise G
  1. In how many ways can a committee of 6 members e formed out of 4 teache...

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  2. In how many ways can a committee of 6 members e formed out of 4 teache...

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  3. There are 5 red and 6 black balls in a bag. In how many ways 6 balls c...

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  4. There are 4 girls and 7 boys in a group. In how many waysa team of 5 m...

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

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

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

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

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

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

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

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  12. No. of diagonals of a hexagon are:

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

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

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

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

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

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

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

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

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