Question: Problem 2. Prove that log(n!) = 9(n log n). (Logarithms are based 2) Problem 3. Write a recursive algorithm to print the binary representation of

Problem 2. Prove that log(n!) = 9(n log n). (Logarithms are based 2) Problem 3. Write a recursive algorithm to print the binary representation of a non-negative integer. Try to make your algorithm as simple as possible. Your input is a non-negative integer n. Your output would be the binary representation of n. For example, on input 5, your program would print '101

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