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If a,b and c are integers and age1,bge2 ...

If a,b and c are integers and `age1,bge2 and c ge 3`. If `a+b+c=15`, the number of possible solutions of the equation is

A

55

B

66

C

45

D

None of these

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The correct Answer is:
A
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ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise For Session 6
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  3. 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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  4. Number of integral solutions of 2x+y+z=10 (xge0,yge0,Zge0) is

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  8. The number of positive integral solutions of 2x(1)+3x(2)+4x(3)+5x(4)=2...

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

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  10. The total number of positive integral solution of 15<x1+x2+x3lt=20 is ...

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

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

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  13. 4 points out of 11 points in a plane are collinear. Number of differen...

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  14. The number of triangles that can be formed with 10 points as vertic...

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

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

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  17. 4 points out of 8 points in a plane are collinear. Number of different...

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

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  19. In a polygon the number of diagonals is 54. the number of sides of the...

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

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