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Write the maximum number of points of in...

Write the maximum number of points of intersection of 8 straight lines in a plane.

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To find the maximum number of points of intersection of 8 straight lines in a plane, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Intersection Points**: - When two lines intersect, they create one point of intersection. To maximize the number of intersection points, we need to ensure that no two lines are parallel and no three lines meet at the same point. 2. **Choosing Lines**: ...
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RD SHARMA-COMBINATIONS-Solved Examples And Exercises
  1. Write the expression \ ^n C(r+1)+\ ^n C(r-1)+2xx\ ^n Cr in the simples...

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  2. There are 3 letters and 3 directed envelopes. Write the number of ways...

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  3. Write the maximum number of points of intersection of 8 straight lines...

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  4. The number of parallelograms that can be formed from a set of four par...

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  5. The number of ways in which 12 students can be equally divided into th...

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  6. Write the total number of words formed by 2 vowels and 3 consonants ...

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  7. If \ ^20 Cr=\ ^20 C(r-10) ,\ t h e n\ \ ^18 Cr is equal to a. 4896 b. ...

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  8. If \ ^(20)Cr=\ ^(20)C(r+4),\ t h e n\ \ ^r C3 is equal to a. 54 b. 56 ...

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  9. If \ ^(15)C(3r)=\ \ ^(15)C(r+3)\ then\ r is equal to a. 5 b. 4 c. 3 d....

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  10. If \ ^(20)C(r+1)=\ \ ^(20)C(r-1),\ t h e n\ r is equal to a. 10 b. 11 ...

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  11. If C(n , 12)=C(n ,8),\ t h e n\ C(22 , n) is equal to a. 231 b. 210 c....

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  12. If \ ^ C1=\ \ ^n 2 then 2m=n m=(n-1) d. 2n=m(m-1)

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  13. If \ ^n C(12)=\ \ ^n C8 then n = a. 20 b. 12 c. 6 d. 30

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  14. If \ ^n Cr+\ ^n C(r-1)=\ \ ^(n+1)Cx ,\ t h e n x = r b. r-1 c. n d. r...

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  15. If \ ^(a^2-a)C2=\ \ ^(a^2-a)C4\ t h e n= 2 b. 3 c. 4 d. none of ...

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  16. \ ^5C1+\ ^5C2+\ ^5C3+\ ^5C4+\ ^5C5 is equal to 30 b. 31 c. 32 d. 33

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  17. Total number of words formed by 2 vowels and 3 consonants taken from 4...

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  18. There are 12 points in a lane. The number of the straight lines joinin...

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  19. There persons enter a railway compartment. If there are 5 seats vacant...

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  20. In how many ways can a committee of 5 be made out of 6 men and 4 women...

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