Falling and rising factorials facts for kids
The falling factorial 
is a multiplication of progressively smaller terms starting with n where there are k number of terms. Each term is a natural number and decreases by 1.
Similarly the rising factorial 
is a multiplication of progessively larger terms starting with n where there are k number of terms. Each term is a natural number and increases by 1.
See also
In Spanish: Factoriales descendente y ascendente para niños
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Falling and rising factorials Facts for Kids. Kiddle Encyclopedia.