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If number of ways in which 7 different b...

If number of ways in which 7 different balls can be distributed into 4 different boxes, so that no box remains empty is `100lamda`, the value of `lamda` is

A

18

B

108

C

1008

D

10008

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise For Session 6
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  2. If number of ways in which 7 different balls can be distributed into 4...

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  3. If number of ways in which 7 identical balls can be distributed into 4...

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  4. Number of non-negative integral solutions of the equation a+b+c=6 is

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  5. The number of integral solutions of x+y+z=0 with xgeq-5,ygeq-5,zgeq-5 ...

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

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

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

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

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

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

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

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

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

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  16. 4 points out of 11 points in a plane are collinear. Number of differen...

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

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

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

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  20. 4 points out of 8 points in a plane are collinear. Number of different...

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