Raymond Hettinger <[email protected]> added the comment:

Excel is returning the count, not the set itself.  So, it could have
chosen to return zero.

The HP32SII also has nCr and nPr functions that return INVALID DATA for
r>n or r<0.

The Combinatorics section of CRC Standard Mathematical Formulae (30th
edition) defines nCr and nPr only for 0 <= r <= n.  The same is true in
Harris and Stocker's Handbook of Mathematics and Computational science.

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