Let there be zzz functions from {A,B}3\{\text{A}, \text{B}\}^3{A,B}3 to {1,2,3}\{1, 2, 3\}{1,2,3}. Calculate z mod 7z \bmod 7zmod7.
參考答案與解析
z mod 7=2z \bmod 7 = 2zmod7=2。{A,B}3\{\text{A},\text{B}\}^3{A,B}3共有23=82^3=823=8個元素,函數到3個元素的集合共有z=38=6561z=3^8=6561z=38=6561個,6561 mod 7=26561 \bmod 7 = 26561mod7=2。