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Number of integral solutions of 2x+y+z=1...

Number of integral solutions of `2x+y+z=10 (xge0,yge0,Zge0)` is

A

18

B

27

C

36

D

51

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise For Session 6
  1. The number of integral solutions of x+y+z=0 with xgeq-5,ygeq-5,zgeq-5 ...

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  2. If a,b and c are integers and age1,bge2 and c ge 3. If a+b+c=15, the n...

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  3. Number of integral solutions of 2x+y+z=10 (xge0,yge0,Zge0) is

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  4. A person writes letters to six friends and addresses the corresponding...

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  5. The number of selections of four letters from the letters ofthe word A...

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  6. Find the number of solutions of 4{x}=x+[x].

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  7. If a,b, and c are positive integers such that a+b+cle8, the number of ...

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  8. The total number of positive integral solution of 15 < x1+x2+x3<=20 is...

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  9. Find the sum of all 2 digits no. which when divided by 9, it leaves a ...

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  10. There are 12 points in a plane in which 6 are collinear. Number of dif...

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  11. 4 points out of 11 points in a plane are collinear. Number of differen...

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  12. The number of triangles that can be formed with 10 points as vertice...

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  13. ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked ...

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  14. There are 10 points in a plane of which no three points are collinea...

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  15. 4 points out of 8 points in a plane are collinear. Number of different...

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  16. There are 2n points in a plane in which m are collinear. Number of qua...

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  17. In a polygon the number of diagonals is 54. The number of sides of the...

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  18. In a polygon, no three diagonals are concurrent. If the total number...

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  19. If n lines are drawn in a plane such that no two of them are parallel ...

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  20. Six straight lines are in a plane such that no two are parallel & no t...

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