(c) If 0 < k < n, prove the formula n(n - 1) -- (п - k+ 1) k k! (d) A class contains 10 students, 6 boys and 4 girls. We need to pick 3 students to represent the class – and we must pick at least one boy and at least one girl. How many ways are there to do this? Explain your answer carefully.

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A:

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A:

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