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A supplement to the problem of mathematical permutation and combination
Answer:

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There are 5+3+6= 14 balls in total.

All cases are C (14,8) = C (14,6) =14 *13 *12 *1*/klc.

* * * There are 5+6 non-white balls, so the case without white balls is C (1 1, 8) = C (1 1, 3) =1* 9/.

So take 8 balls from 5 white balls, 3 red balls and 6 black balls, among which there must be a white ball.

* * * There are 3003- 165=2838 species.