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In how many ways can a student choose a ...

In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. A boy has 3 library tickets and 8 books of his interest in the library...

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  2. Out of 7 consonants and 4 vowels, how many words can be made each cont...

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  3. In how many ways can a student choose a programme of 5 courses if 9 co...

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  4. In an examination, a student has to answer 4 questions out of 5 questi...

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  5. In an examination, Yamini has to select 4 questions from each part. Th...

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  6. If 20 lines are drawn in a plane such that no two of them are parallel...

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  7. There are 15 points in a plane, no three of which are collinear. Find ...

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  8. A student is allowed to select atmost n books from a collection of (2n...

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  9. Determine the number of 5 card combinations out of a deck of 52 cards ...

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  10. In how many ways can we select a cricket eleven from 17 players in whi...

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  11. In how many ways can a football team of 11 players be selected from 16...

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  12. A committee of 5 members is to be selected from among 6 boys and 5 gir...

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  13. In how many ways a committee of 5 members can be selected from 6 men a...

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  14. Out of 5 men and 2 women a committee of 3 is to be formed. In how many...

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  15. A committee of 3 members is to be formed out of 5 men and 2 women. Fin...

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  16. A committee of 3 persons is to be constituted from a group of 2 men an...

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  17. A group consists of 4 girls and 7 boys. In how many ways can a team of...

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  18. A group consists of 4 girls and 7 boys. In how many ways can a team of...

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  19. A group consists of 4 girls and 7 boys. In how many ways can a team of...

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  20. In how many ways can 5 members forming a committee out of 10 be select...

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