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Combinatorics help asap. Show work and steps. Problem: Find the total number of ways to roll 10 distinct 6-sided dice so that each number (1-6)

Combinatorics help asap. Show work and steps.

Problem: Find the total number of ways to roll 10 distinct 6-sided dice so that each number (1-6) is rolled at least once.

I got 6^(4)*\Comb{10}{6}* 6! = 195955200.

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