Question: binomial combination factorial but permutation factorial no

Just a simple question.

If you have 10 objects and you choose 6 and order doesn't matter,

binomial(10,6)

                      210

binomial(n,r);

                         /  n    \
                        |         |
                         \  r     /

convert(%,factorial)
              

where it is usually described as C(n,r) or nCr and can also be entered in our example as combinat[numbcomb(10,6)

But when order does matter it is just  n!/(n-r)!

or combinat[numbperm](10,6)
                                      151200
usually described as P(n,r) or nPr

Yes the vehicle exists in maple to carry out that permutation calculation numerically but, ironically being an algebraic system, the identical conversion of permutation symbolically to factorial notation doesn't appear to exist.  ie a conversion of an algebraic permutation command P(n,r) to factorial form isn't available is it??