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Find the number of non-negative solution...

Find the number of non-negative solution of `3x+y+z=24`

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The correct Answer is:
117
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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-ADDITIONAL SOLVED EXAMPLES
  1. Find the number of positive integral solutions of x(1)x(2)x(3)=30.

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  2. Find the number of positive integral solutions of x(1)x(2)x(3)=54 wher...

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  3. Find the number of non-negative solution of 3x+y+z=24

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  4. In how many ways the number 18900 can be split in to two factors which...

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  5. What is the largest positive integer n such that lfloor33 is divisible...

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  6. Find the exponent of 2 in ""^(20)C(10).

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  7. Find the number of proper divisors of lfloor15

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  8. Find the number of zeros at the end of (100)!

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  9. In how many ways can 100 persons can be arranged along a row so that t...

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  10. In how many ways can 10 men and 10 women be divided into 10 couples, e...

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  11. Find the number of onto functions that can be defined from a set A={a(...

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  12. How many on-to functions can be defined from a set A={a(1),a(2),.........

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  13. In a class room there are 10 rows and in each row there are 2 chairs. ...

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  14. How many different 5-digited numbers can be made, the sum of whose dig...

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  15. How many 5 digited numbers can be made with odd digits so that no two ...

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  16. Consider A={1,2,3,......,10} Find the sum of all products of numbers b...

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  17. In how many ways 5 couples can be arranged along a row so that no husb...

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  18. Show that the number of ways to select 'r' objects from n distinct obj...

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  19. n different things are arranged along a circle. In how many ways can '...

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