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Write the number of diagonals of an n-si...

Write the number of diagonals of an n-sided polygon.

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To find the number of diagonals in an n-sided polygon, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Polygon**: An n-sided polygon has n vertices. Each vertex can connect to other vertices to form diagonals. 2. **Choosing Vertices**: To form a diagonal, we need to choose 2 vertices from the n vertices. The number of ways to choose 2 vertices from n is given by the combination formula: \[ ...
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RD SHARMA-COMBINATIONS-Solved Examples And Exercises
  1. How many words, with or without meaning can be made from the letter...

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  2. If C(35, n+7)= C(35, 4n-2) then all the values of n are

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  3. Write the number of diagonals of an n-sided polygon.

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  4. Write the expression \ ^n C(r+1)+\ ^n C(r-1)+2xx\ ^n Cr in the simples...

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

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

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

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

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

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

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

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

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  13. 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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  14. 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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  15. If \ ^ C1=\ \ ^n 2 then 2m=n m=(n-1) d. 2n=m(m-1)

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

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  17. 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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  18. 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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  19. \ ^5C1+\ ^5C2+\ ^5C3+\ ^5C4+\ ^5C5 is equal to 30 b. 31 c. 32 d. 33

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

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