MEDIUM
11th Maharashtra Board
IMPORTANT
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Ten students are to be selected for a project from a class of 30 students. There are 4 students who want to be together either in the project or not in the project. Find the number of possible selections.

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Important Questions on Permutations and Combinations

EASY
11th Maharashtra Board
IMPORTANT
A student finds 7 books of his interest, but can borrow only three books. He wants to borrow Chemistry part II book only if Chemistry part I  can also be borrowed. Find the number of ways he can choose three books that he wants to borrow.
MEDIUM
11th Maharashtra Board
IMPORTANT

30 objects are to be divided in three groups containing 7,10,13 objects. Find the number of distinct ways for doing so.

EASY
11th Maharashtra Board
IMPORTANT
A student passes an examination if he secures a minimum in each of the 7 subjects. Find the number of ways a student can fail.
MEDIUM
11th Maharashtra Board
IMPORTANT

Nine friends decide to go for a picnic in two groups. One group decides to go by car and the other group decides to go by train. Find the number of different ways of doing so if there must be at least 3 friends in each group.

(Assume that maximum 5 people can go in car)

EASY
11th Maharashtra Board
IMPORTANT
A hall has 12 lamps and every lamp can be switched on independently. Find the number of ways of illuminating the hall.
EASY
11th Maharashtra Board
IMPORTANT
How many quadratic equations can be formed using numbers from 0,2,4,5 as coefficients if a coefficient can be repeated in an equation.
EASY
11th Maharashtra Board
IMPORTANT
How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?
EASY
11th Maharashtra Board
IMPORTANT
A question paper has 6 questions. How many ways does a student have to answer if he wants to solve at least one question?