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How many different selections of 6 books...

How many different selections of 6 books can be made from 11 different books, if
(i) two particular books are always selected.
(ii) two particular books are never selected?

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AI Generated Solution

To solve the problem of how many different selections of 6 books can be made from 11 different books under the given conditions, we will break it down into two parts: ### Part (i): Two particular books are always selected. 1. **Identify the total number of books and the condition**: We have 11 different books, and we are required to select 6 books. Out of these, 2 particular books must always be included in our selection. 2. **Calculate the remaining books**: Since 2 books are already selected, we have \(11 - 2 = 9\) books left to choose from. ...
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ARIHANT MATHS ENGLISH-PERMUTATIONS AND COMBINATIONS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. How many different selections of 6 books can be made from 11 different...

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  2. There is a rectangular sheet of dimension (2m-1)xx(2n-1), (where m > 0...

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  3. If the letters of the word SACHIN are arranged in all possible ways...

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  4. lf r, s, t are prime numbers and p, q are the positive integers such t...

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  5. At an election a voter may vote for nany number of candidates , not gr...

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  6. The letters of the word COCHIN are permuted and all the permutation...

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  7. The set S""=""{1,""2,""3,""........ ,""12) is to be partitioned into...

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  8. Consider all possible permutations of the letters of the word ENDEANOE...

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  9. How many different words can be formed by jumbling the letters in the ...

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  10. In a shop, there are five types of ice-creams available. A child buys ...

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  11. The number of seven digit integers, with sum of the digits equal to 10...

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  12. From 6 different novels and 3 different dictionaries, 4 novels and ...

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  13. There are two urns. Urn A has 3 distinct red balls and urn B has 9 ...

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  14. Statement-1: The number of ways of distributing 10 identical balls in ...

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  15. There are 10 points in a plane, out of these 6 are collinear. The numb...

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  16. The total number of ways in which 5 balls of differert colours can be ...

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  17. Let n denote the number of all n-digit positive integers formed by the...

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  18. Let a(n) denote the number of all n-digit numbers formed by the digits...

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  19. Assuming the balls to be identical except for difference in colours, t...

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  20. Let Tn be the number of all possible triangles formed by joining ve...

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  21. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

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