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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 ENGLISH-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. A person goes in for an examination in which there are four papers wit...

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

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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+x3lt=20 is ...

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  9. Find the total number of positive integral solutions for (x ,y ,z) suc...

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

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  13. There are 10 points in a plane of which no three points are colline...

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  14. 4 points out of 8 points in a plane are collinear. Number of different...

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

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

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  17. In a polygon, no three diagonals are concurrent. If the total numbe...

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

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

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  20. The parallelogram is cut by two sets of m lines parallel to its sides....

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