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A={(x,y,z):x,y,zinNandx+y+z=12}. The num...

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

A

54

B

55

C

7

D

`12^(3)`

Text Solution

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The correct Answer is:
B
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NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. The number of positive integral solutions of the equation x + y + z = ...

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

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

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

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

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  6. The number of ways in which a couple can sit around a table with 6 gue...

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  7. A tea party is arranged for 16 people among two sides of a long table ...

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

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

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

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

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

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

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

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

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

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

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

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  19. The number of arrangements of the letters of the word BHARAT taking 3 ...

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  20. The number of all possible squares in a chess board is

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