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There are 10 true or false questions in an examination. Number of ways of answering these 10 questions which are marked either T or F is

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In an examination there are three multiple choice questions and each question has 5 choices Number of ways in which a student can fail to get all answer correct is

Are exam paper contains 8 questions, 4 in Part A and 4 in Part B. Examiners are required to answer 5 questions. In how many ways can this be done if (i) There are no restrictions of choosing a number of questions in either parts.(ii) At least two questions from Part A must be answered

NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. Everybody in a room shakes hands with everybody else. The total n...

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  2. There are 10 points in a plane no three of which are collinear except ...

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  3. There are 10 true or false questions in an examination. Number of ways...

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  4. In an examination there are 4 multiple choice questions and each quest...

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  5. The number of ways in which 19 different objects can be divided into t...

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  6. The number of ways in which 12 people may be divided into three sets o...

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  7. The number of ways in which 10 people can be assigned to two triple an...

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  8. The vertices of a triangle are at the vertices of an octagon. The numb...

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  9. The number of rectangles in the following figure is

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  10. The number of ways in which 11 identical pencils can be distributed am...

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  11. The number of positive integral solutions of the equation x + y + z = ...

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  12. The number of whole number solutions of x + y + z = 20 is

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  13. A={(x,y,z):x,y,zinNandx+y+z=12}. The number of elements in A is

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  14. A box contains two white balls, three black balls and four balls. In...

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  15. The number of ways in which 21 objects can be grouped into three group...

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  16. The number of ways in which a couple can sit around a table with 6 gue...

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  17. A tea party is arranged for 16 people among two sides of a long table ...

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  18. There are 3 copies each of 4 different books. The number of ways in wh...

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  19. The number of ways in which we can choose two positive integers from 1...

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  20. The number of positive integral solutions of the equation xyz = 30 is

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