作业帮集合 映射如图所示
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集合 映射如图所示
集合 映射
如图所示
集合 映射如图所示
对于A中任意一个元素在B中都有唯一的一个元素与之相对应.
f(1)=5,则f(3)=f(4)=f(1) 有1种可能,
f(1)=6,则f(3)=6,f(4)=6或5,有2种可能,
f(1)=6,则f(3)=5,f(4)=5 有1种可能,
f(1)=7,则f(3)=7,f(4)=7,6,5有3种可能,
f(1)=7,则f(3)=6,f(4)=6,5 有2种可能,
f(1)=7,则f(3)=5,f(4)=5 有1种可能,
共有1+3+6=10种可能,每种可能对应的f(2)有3种不同可能f(2)=5,6,7.
于是总共有30种不同的对应法则.
下面是所有的三十中不同对应法则:
a1→b5,a2→b5,a3→b5,a4→b5
a1→b5,a2→b6,a3→b5,a4→b5
a1→b5,a2→b7,a3→b5,a4→b5
a1→b6,a2→b5,a3→b5,a4→b5
a1→b6,a2→b5,a3→b6,a4→b5
a1→b6,a2→b5,a3→b6,a4→b6
a1→b6,a2→b6,a3→b5,a4→b5
a1→b6,a2→b6,a3→b6,a4→b5
a1→b6,a2→b6,a3→b6,a4→b6
a1→b6,a2→b7,a3→b5,a4→b5
a1→b6,a2→b7,a3→b6,a4→b5
a1→b6,a2→b7,a3→b6,a4→b6
a1→b7,a2→b5,a3→b5,a4→b5
a1→b7,a2→b5,a3→b6,a4→b5
a1→b7,a2→b5,a3→b6,a4→b6
a1→b7,a2→b5,a3→b7,a4→b5
a1→b7,a2→b5,a3→b7,a4→b6
a1→b7,a2→b5,a3→b7,a4→b7
a1→b7,a2→b6,a3→b5,a4→b5
a1→b7,a2→b6,a3→b6,a4→b5
a1→b7,a2→b6,a3→b6,a4→b6
a1→b7,a2→b6,a3→b7,a4→b5
a1→b7,a2→b6,a3→b7,a4→b6
a1→b7,a2→b6,a3→b7,a4→b7
a1→b7,a2→b7,a3→b5,a4→b5
a1→b7,a2→b7,a3→b6,a4→b5
a1→b7,a2→b7,a3→b6,a4→b6
a1→b7,a2→b7,a3→b7,a4→b5
a1→b7,a2→b7,a3→b7,a4→b6
a1→b7,a2→b7,a3→b7,a4→b7