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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?
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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 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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Find the number of ways of dividing 20 objects in three groups of sizes 8, 7, and 5.
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There are 8 doctors and 4 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 that can be formed.
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