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The number of positive integral solution...

The number of positive integral solutions of the equation x + y + z = 100 is

A

5081

B

6005

C

4851

D

5851

Text Solution

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. The number of rectangles in the following figure is

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  2. The number of ways in which 11 identical pencils can be distributed am...

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  3. The number of positive integral solutions of the equation x + y + z = ...

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  4. The number of whole number solutions of x + y + z = 20 is

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  5. A={(x,y,z):x,y,zinNandx+y+z=12}. The number of elements in A is

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  6. A box contains two white balls, three black balls and four balls. In...

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  7. The number of ways in which 21 objects can be grouped into three group...

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  10. There are 3 copies each of 4 different books. The number of ways in wh...

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  11. The number of ways in which we can choose two positive integers from 1...

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  12. The number of positive integral solutions of the equation xyz = 30 is

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  13. The total number of ways of selecting 3 balls from a bag containing 7 ...

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  14. If a set of m paralled lines intersect another set of n parallel lines...

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  15. The number of 3 digit number locks having none of their digits repeate...

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  16. m' men and 'n' women are to be seated in a row so that no two women si...

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  17. There are 'n' different books and 'p' copies of each. The number of wa...

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  18. ""^(15)C(0)=

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  19. If ""^(18)C(15)+2(""^(18)C(16))+""^(17)C(16)+1=""^(n)C(3), then n =

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  20. If m=""^(n)C(2),"then """^(m)C(2)=

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