HSC Science (Computer Science) 11th Standard - Maharashtra State Board Question Bank Solutions

A committee of 10 persons is to be formed from a group of 10 women and 8 men. How many possible committees will have at least 5 women? How many possible committees will have men in majority?

A question paper has two sections. section I has 5 questions and section II has 6 questions. A student must answer at least two question from each section among 6 questions he answers. How many different choices does the student have in choosing questions?

There are 3 wicketkeepers and 5 bowlers among 22 cricket players. A team of 11 players is to be selected so that there is exactly one wicketkeeper and at least 4 bowlers in the team. How many different teams can be formed?

Five students are selected from 11. How many ways can these students be selected if two specified students are selected?

Five students are selected from 11. How many ways can these students be selected if two specified students are not selected?

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A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, In how many ways can he choose the questions?

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The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently

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The number of ways in which 5 male and 2 female members of a committee can be seated around a round table so that the two females are not seated together is

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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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A student finds 7 books of his interest but can borrow only three books. He wants to borrow the 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.

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

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.

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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.

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Find the number of ways of dividing 20 objects in three groups of sizes 8, 7 and 5

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There are 4 doctors and 8 lawyers in a panel. Find the number of ways for selecting a team of 6 if at least one doctor must be in the team

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Four parallel lines intersect another set of five parallel lines. Find the number of distinct parallelograms formed

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As per the recent understanding, light consists of

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A glass slab of thickness 2.5 cm having refractive index 5/3 is kept on an ink spot. A transparent beaker of very thin bottom, containing water of refractive index 4/3 up to 8 cm, is kept on the glass block. Calculate apparent depth of the ink spot when seen from the outside air.

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The resultant of two forces 10 N and 15 N acting along +x and - x-axes respectively, is

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For two vectors to be equal, they should have the