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The following formula also gives the answer:
 . You can easily obtain the answer in this manner if you look at the problem as follows: given 18 identical objects, in how many ways can we pack them into six ordered boxes, with the restriction that no more than nine objects are allowed in each box. Then,  is the number of ways this can be done without the upper limit of 9, and the  is the number of combinations that fail this condition.
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Moderation Team
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