There are $n$ elements. The number of permutations of these elements is $n!$. How many permutations start with first element? or any of the $n$ elements?
2026-03-26 10:48:12.1774522092
How many permutations of $n$ elements start with the first element? or any of the $n$ elements?
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If we fix the element in the first position of the permutation, the rest $n-1$ elements can be arranged arbitrary, so the answer is $(n-1)!$ and, as you have correctly noticed, it's independent of the element we fix in the first position.