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In a shelf there are 12 books, 4 books a...

In a shelf there are 12 books, 4 books are to be Selected for reading with a condition
Q without any restrictions

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A box oforanges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones willI be approved for sale.

A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box Is approved for sale, otherwise, it is rejected. Find the probability that a box containing I5 oranges out of which 12 are good and 3 are bad ones will be approved for sale.

Consider the vector equation of two planes vecr(2hati+hatj+hatk)=3 and vecr(hati-hatj-hatk)=4 i.Find the vector equation of any plane through the intersection of the above two planes. ii. Find the vector equation of the plane through the intersection of the above two planes and the point (1,2,-1).

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 ?

A bag contains a total of 20 books on physics and mathematics, Any possible combination of books is equally likely. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 3 books on mathematics.

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PREMIERS PUBLISHERS-COMBINATORICS AND MATHEMATICAL INDUCTION-PROBLEMS FOR PRACTICE (Choose the correct option for the following)
  1. In a shelf there are 12 books, 4 books are to be Selected for reading...

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  2. 0! Is :

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  3. If n different objects are to placed in m places then the number of wa...

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  4. There are 5 bulbs in a room. Each one of them can be operated independ...

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  5. If 7!/n!=7 then the value of n is:

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  6. If n! + (n-1)! =144, then the value of n is :

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  7. Prove ""^(n)P(r)=""^(n-1)P(r) +r. ""^(n-1)P(r-1)

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  8. ""^(7)C(3) + ""^(7)C(2)=""^(x)C(y) then x and y are:

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  9. If 5 parallel lines intersect another set of 4 , parallel lines (not p...

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  10. 1^(2) + 2^(2) + 3^(2) + …+ 10^(2) is :

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  11. If ""^(x^(2)-x)C(7)=""^(x^(2)-x)C(5) then x is :

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  12. A photographer wants to take a photo of 3 students out of 6 students ...

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  13. In 3 fingers, the number of ways five rings can be worn in...............

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  14. There are 8 points in a plane, no three of them are collinear .The num...

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  15. 10 students compete in a race. In how many ways first two prizes be g...

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  16. How many lines can be drawn given six points of which 3 are collinear?

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  17. Find the odd one out:

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  18. Among the following, find which one cannot be no. of digonals of a pol...

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  19. Find the correct statement:

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  20. Find the correct statement:

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  21. Find the incorrect statement:

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