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In how many ways can 8 identical balls be distributed among 3 children if a child may receive no ball?

1857Medium DSSSB TGT Computer Science 0 replies 1 views
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In how many ways can 8 identical balls be distributed among 3 children if a child may receive no ball?

  • A36
  • B45
  • C56
  • D64
Correct answer: B

Explanation

The number of non-negative solutions of x + y + z = 8 is C(8 + 2, 2) = C(10, 2) = 45.

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