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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 two particular books should always be not selected.

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In a shelf there are 12 books, 4 books are to be Selected for reading with a condition Q two particular books should always be selected.

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

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 ?

In a class of 10 boys and 6 girls, a team of 8 has to be formed with atleast 4 boys and atleast 4 girls with the condition that two girls are always included in the team. In how many ways the selection can be made?

A delegation of four students is to be selected from al total of 12 students. In how many says can the delegation be selected. if all the students are equally willing? if two particular students have to be included in the delegation? if two particular students do not wish to be together in the delegation? if two particular students wish to be included together only in the delegation? if two particular students refuse to be together and two other particular students wish to be together only in the delegation?

A husband and wife appear for an interview for two vacancies in the same post. The probability of husband's selection is (1)/(7) and wife's rejection is (4)/(5) Find the probability that i. both of them are selected. ii. only one of them is selected. iii. none of them is selected. iv. atleast one of them is selected.

A team of four students is to be selected from a total of 12 students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to a. 220 b. 182 c. 226 d. none of these

There are 'n' different books and 'p' copies of each. The number of ways in which a selection can be made from them is

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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