Use the Principle of Mathematical Induction to prove that (2𝑛)! /(2n)𝑛! is odd for all positive integers.
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Here's the Solution to this Question
For n=1, we have
Hence the result is true for n=1 (base case)
Let it be true for n=K.
Now for n=k+1
Hence the result is true for n=k+1.
Thus the result is true for all +ve integers by mathematical induction.