一道国外数学题Ten students have been nominatedfor the positions ofsecretary,treasurer,social convenor,and fundraising chair.In how many ways can these positions be filled if a pair of twins are running and plan to switch positions on occasion

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一道国外数学题
Ten students have been nominatedfor the positions ofsecretary,treasurer,social convenor,and fundraising chair.In how many ways can these positions be filled if a pair of twins are running and plan to switch positions on occasion for fun since no one can tell them apart?
这个问题有高手能看懂并讲讲怎么做吗?

就是说有10人被提名参加4个职位的选举,如果有个双胞胎在中间捣乱换来换去的话,这4个职位的排列有多少种方法?
10C4*2,就是 10!/((6!)*4*)*2 = 420 种方法

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