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If 20 straight lines be drawn in a plane , no two of them being parallel and no three of them being concurrent , how many points of intersection will be there ?

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If n straight lines be drawn in a plane , no two of them being parallel and no three of them being concurrent , how many points of intersection will be there ?

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There are 10 points on a plane of which no three points are collinear. If lines are formed joining these points, find the maximum points of intersection of these lines.

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CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7B ( Short Answer Type Questions )
  1. In an election there are 7 candidates and 4 members are to be elected...

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  2. In a plane there are 10 points out of which no three are collinear exc...

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  3. If 20 straight lines be drawn in a plane , no two of them being parall...

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  4. If 10 parallel lines in a plane are intersected by a family of anothe...

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  5. There are 15 points in a plane of which 4 points lie in one stright li...

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  6. Show that in the number of combinations of 2n different things taken n...

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  7. How many different numbers of 6 digits each (without repetition of dig...

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  8. If the number of combinations of n different things taken (r+r) at a t...

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  9. In how many ways can a person contribute to a charitabe fund out of 10...

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  10. Find the number of factors of 37800 .

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  11. Find the number of different factors of 3528 which are greater than 1 ...

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  12. Eight questions are given , each question has an alternative Prove tha...

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  13. Prove that the total number of selections that can be made out of the ...

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  14. In how many different ways ten 10 paise and five 5- paise coins can be...

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  15. From 10 boys and 6 girls , how many different selections can be made s...

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  16. The results (win , loss or draw ) of 10 fooball matches are to be pred...

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  17. If the ratio of the total number of combinations of 2n different thing...

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  18. In how many ways can one or more fruits be selected from 4 apples ,5 o...

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  19. Let t(n) denote the number of diagonals of a polygon of n sides . If ...

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  20. Let T(n) denote the number of triangles which can be formed using the...

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