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How many different selections of 5 boo...

How many different selections of 5 books can be made from 12 different books if,
(i) Two particular books are always selected ?
(ii) Two particular books are never selected ?

Text Solution

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The correct Answer is:
(i) 120 ways
(ii) 252.
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SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -EXERCISE 4.3
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  2. There are 15 persons in a party and if each 2 of then shakes hands w...

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  3. How many chords can be drawn through 20 points on a circle ?

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  4. In a parking lot one hundred one year old cars, are parked. Out of t...

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  5. How many ways can a team of 3 boys, 2 girls and 1 transgender be se...

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  6. Find the total number of subsets of a set with . (i) 4 elements (...

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  7. A trust has 25 members . (i) How many ways 3 officers can be sel...

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  8. How many ways a committee of six persons from 10 persons can be chosen...

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  9. How many different selections of 5 books can be made from 12 differe...

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  10. There are 5 teachers and 20 students . Out of them a committee of t...

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  11. In an examination a student has a answer 5 questions, out of 9 quest...

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  12. Determine the number of 5 card combinations out of a deck of 52 car...

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  13. Find the number of ways of forming a committee of 5 members out of...

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  14. A committee of 7 peoples has to be formed from 9 men and 4 women . In ...

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  15. 7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife also...

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  16. A box contains two white balls, three black balls and four balls. In...

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  17. Find the number of strings of 4 letters that can be formed with the le...

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  18. How many triangles can be formed by 15 points , in which 7 of them ...

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  19. There are 11 points in a plane. No three of these lies in the same ...

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  20. A polygon has 90 diagonals. Find the number of its sides ?

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