Question: Consider a modification of the Fisher-Yates random shuffling algorithm where we replace the call to random(k + 1) with random(n), and take the for-loop down

Consider a modification of the Fisher-Yates random shuffling algorithm where we replace the call to random(k + 1) with random(n), and take the for-loop down to 0, so that the algorithm now swaps each element with another element in the array, with each cell in the array having an equal likelihood of being the swap location. Show that this algorithm does not generate every permutation with equal probability.

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