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HSC Science (General) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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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?

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Five students are selected from 11. How many ways can these students be selected if two specified students are selected?

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Five students are selected from 11. How many ways can these students be selected if two specified students are not selected?

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Select the correct answer from the given alternatives.

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?

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Select the correct answer from the given alternatives.

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

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
Concept: undefined >> undefined

Select the correct answer from the given alternatives.

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

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Answer the following:

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

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Answer the following:

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.

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Answer the following:

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

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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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.

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Answer the following:

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.

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Answer the following:

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

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
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Answer the following:

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

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
Concept: undefined >> undefined

Answer the following:

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

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
Concept: undefined >> undefined
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